Addition & Subtraction of Vectors
PHXI04:MOTION IN A PLANE

361775 Statement A :
An object has given three velocities \({{\vec v}_1},{{\vec v}_2}\) and \({{\vec v}_3}\), then it has a resultant velocity \(\vec v = {{\vec v}_1} + {{\vec v}_2} + {{\vec v}_3}\).
Statement B :
\({{\vec v}_1},{{\vec v}_2}\), and \({{\vec v}_3}\) should be velocities with reference to some common reference frame.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361776 If,\(\overrightarrow A = \hat i + \hat j - 2\hat k\) and \(\overrightarrow B = 2\hat i - \hat j + \hat k\), then the magnitude of \(2\vec A - 3\vec B\) is

1 \(\sqrt {90} \)
2 \(\sqrt {50} \)
3 \(\sqrt {190} \)
4 \(\sqrt {30} \)
PHXI04:MOTION IN A PLANE

361777 A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

1 along northward
2 along north-east
3 along south-west
4 along eastward
PHXI04:MOTION IN A PLANE

361778 Two vectors \({\vec A}\) and \({\vec B}\) have components \({A_x},{A_y},A{}_z\) and \({B_x},{B_y},B{}_z\) respectively. If \(\vec A + \vec B = 0\), then

1 \({A_x} = {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
2 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = - {B_z}\)
3 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = {B_z}\)
4 \({A_x} = - {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
PHXI04:MOTION IN A PLANE

361779 \(\vec A = 2\hat i + \hat j,\vec B = 3\hat j - \hat k\) and \(\vec C = 6\hat i - 2\hat k\). Value of \(\vec A - 2\vec B + 3\vec C\) would be

1 \(20\hat i + 5\hat j + 4\hat k\)
2 \(20\hat i - 5\hat j - 4\hat k\)
3 \(4\hat i + 5\hat j + 20\hat k\)
4 \(5\hat i + 4\hat j + 10\hat k\)
PHXI04:MOTION IN A PLANE

361775 Statement A :
An object has given three velocities \({{\vec v}_1},{{\vec v}_2}\) and \({{\vec v}_3}\), then it has a resultant velocity \(\vec v = {{\vec v}_1} + {{\vec v}_2} + {{\vec v}_3}\).
Statement B :
\({{\vec v}_1},{{\vec v}_2}\), and \({{\vec v}_3}\) should be velocities with reference to some common reference frame.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361776 If,\(\overrightarrow A = \hat i + \hat j - 2\hat k\) and \(\overrightarrow B = 2\hat i - \hat j + \hat k\), then the magnitude of \(2\vec A - 3\vec B\) is

1 \(\sqrt {90} \)
2 \(\sqrt {50} \)
3 \(\sqrt {190} \)
4 \(\sqrt {30} \)
PHXI04:MOTION IN A PLANE

361777 A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

1 along northward
2 along north-east
3 along south-west
4 along eastward
PHXI04:MOTION IN A PLANE

361778 Two vectors \({\vec A}\) and \({\vec B}\) have components \({A_x},{A_y},A{}_z\) and \({B_x},{B_y},B{}_z\) respectively. If \(\vec A + \vec B = 0\), then

1 \({A_x} = {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
2 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = - {B_z}\)
3 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = {B_z}\)
4 \({A_x} = - {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
PHXI04:MOTION IN A PLANE

361779 \(\vec A = 2\hat i + \hat j,\vec B = 3\hat j - \hat k\) and \(\vec C = 6\hat i - 2\hat k\). Value of \(\vec A - 2\vec B + 3\vec C\) would be

1 \(20\hat i + 5\hat j + 4\hat k\)
2 \(20\hat i - 5\hat j - 4\hat k\)
3 \(4\hat i + 5\hat j + 20\hat k\)
4 \(5\hat i + 4\hat j + 10\hat k\)
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PHXI04:MOTION IN A PLANE

361775 Statement A :
An object has given three velocities \({{\vec v}_1},{{\vec v}_2}\) and \({{\vec v}_3}\), then it has a resultant velocity \(\vec v = {{\vec v}_1} + {{\vec v}_2} + {{\vec v}_3}\).
Statement B :
\({{\vec v}_1},{{\vec v}_2}\), and \({{\vec v}_3}\) should be velocities with reference to some common reference frame.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361776 If,\(\overrightarrow A = \hat i + \hat j - 2\hat k\) and \(\overrightarrow B = 2\hat i - \hat j + \hat k\), then the magnitude of \(2\vec A - 3\vec B\) is

1 \(\sqrt {90} \)
2 \(\sqrt {50} \)
3 \(\sqrt {190} \)
4 \(\sqrt {30} \)
PHXI04:MOTION IN A PLANE

361777 A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

1 along northward
2 along north-east
3 along south-west
4 along eastward
PHXI04:MOTION IN A PLANE

361778 Two vectors \({\vec A}\) and \({\vec B}\) have components \({A_x},{A_y},A{}_z\) and \({B_x},{B_y},B{}_z\) respectively. If \(\vec A + \vec B = 0\), then

1 \({A_x} = {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
2 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = - {B_z}\)
3 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = {B_z}\)
4 \({A_x} = - {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
PHXI04:MOTION IN A PLANE

361779 \(\vec A = 2\hat i + \hat j,\vec B = 3\hat j - \hat k\) and \(\vec C = 6\hat i - 2\hat k\). Value of \(\vec A - 2\vec B + 3\vec C\) would be

1 \(20\hat i + 5\hat j + 4\hat k\)
2 \(20\hat i - 5\hat j - 4\hat k\)
3 \(4\hat i + 5\hat j + 20\hat k\)
4 \(5\hat i + 4\hat j + 10\hat k\)
PHXI04:MOTION IN A PLANE

361775 Statement A :
An object has given three velocities \({{\vec v}_1},{{\vec v}_2}\) and \({{\vec v}_3}\), then it has a resultant velocity \(\vec v = {{\vec v}_1} + {{\vec v}_2} + {{\vec v}_3}\).
Statement B :
\({{\vec v}_1},{{\vec v}_2}\), and \({{\vec v}_3}\) should be velocities with reference to some common reference frame.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361776 If,\(\overrightarrow A = \hat i + \hat j - 2\hat k\) and \(\overrightarrow B = 2\hat i - \hat j + \hat k\), then the magnitude of \(2\vec A - 3\vec B\) is

1 \(\sqrt {90} \)
2 \(\sqrt {50} \)
3 \(\sqrt {190} \)
4 \(\sqrt {30} \)
PHXI04:MOTION IN A PLANE

361777 A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

1 along northward
2 along north-east
3 along south-west
4 along eastward
PHXI04:MOTION IN A PLANE

361778 Two vectors \({\vec A}\) and \({\vec B}\) have components \({A_x},{A_y},A{}_z\) and \({B_x},{B_y},B{}_z\) respectively. If \(\vec A + \vec B = 0\), then

1 \({A_x} = {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
2 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = - {B_z}\)
3 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = {B_z}\)
4 \({A_x} = - {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
PHXI04:MOTION IN A PLANE

361779 \(\vec A = 2\hat i + \hat j,\vec B = 3\hat j - \hat k\) and \(\vec C = 6\hat i - 2\hat k\). Value of \(\vec A - 2\vec B + 3\vec C\) would be

1 \(20\hat i + 5\hat j + 4\hat k\)
2 \(20\hat i - 5\hat j - 4\hat k\)
3 \(4\hat i + 5\hat j + 20\hat k\)
4 \(5\hat i + 4\hat j + 10\hat k\)
PHXI04:MOTION IN A PLANE

361775 Statement A :
An object has given three velocities \({{\vec v}_1},{{\vec v}_2}\) and \({{\vec v}_3}\), then it has a resultant velocity \(\vec v = {{\vec v}_1} + {{\vec v}_2} + {{\vec v}_3}\).
Statement B :
\({{\vec v}_1},{{\vec v}_2}\), and \({{\vec v}_3}\) should be velocities with reference to some common reference frame.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI04:MOTION IN A PLANE

361776 If,\(\overrightarrow A = \hat i + \hat j - 2\hat k\) and \(\overrightarrow B = 2\hat i - \hat j + \hat k\), then the magnitude of \(2\vec A - 3\vec B\) is

1 \(\sqrt {90} \)
2 \(\sqrt {50} \)
3 \(\sqrt {190} \)
4 \(\sqrt {30} \)
PHXI04:MOTION IN A PLANE

361777 A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:

1 along northward
2 along north-east
3 along south-west
4 along eastward
PHXI04:MOTION IN A PLANE

361778 Two vectors \({\vec A}\) and \({\vec B}\) have components \({A_x},{A_y},A{}_z\) and \({B_x},{B_y},B{}_z\) respectively. If \(\vec A + \vec B = 0\), then

1 \({A_x} = {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
2 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = - {B_z}\)
3 \({A_x} = {B_x},{A_y} = {B_y},{A_z} = {B_z}\)
4 \({A_x} = - {B_x},{A_y} = - {B_y},{A_z} = - {B_z}\)
PHXI04:MOTION IN A PLANE

361779 \(\vec A = 2\hat i + \hat j,\vec B = 3\hat j - \hat k\) and \(\vec C = 6\hat i - 2\hat k\). Value of \(\vec A - 2\vec B + 3\vec C\) would be

1 \(20\hat i + 5\hat j + 4\hat k\)
2 \(20\hat i - 5\hat j - 4\hat k\)
3 \(4\hat i + 5\hat j + 20\hat k\)
4 \(5\hat i + 4\hat j + 10\hat k\)