Analytical addition and Resolution of Vectors
PHXI04:MOTION IN A PLANE

361793 A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis. The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will be

1 \(\dfrac{1}{\sqrt{3}}\)
2 \(6\)
3 \(2\)
4 \(\sqrt{3}\)
PHXI04:MOTION IN A PLANE

361794 A body at rest under the action of three forces, two of which are \({{\vec F}_1} = 4\hat i,{{\vec F}_2} = 6\hat j\), the third force is

1 \(4\hat i + 6\hat j\)
2 \(4\hat i - 6\hat j\)
3 \( - \,4\hat i + 6\hat j\)
4 \( - \,4\hat i - 6\hat j\)
PHXI04:MOTION IN A PLANE

361795 The angle bewteen \(A = \hat i + \hat j\) and \(B = \hat i - \hat j\) is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(30^\circ \)
PHXI04:MOTION IN A PLANE

361796 If the resultant of \(A\) and \(B\) makes angle \(\alpha \) with \(A\) and \(\beta \) with \(B\), then

1 \(\alpha < \beta \), always
2 \(\alpha < \beta ,\) if \(A < B\)
3 \(\alpha < \beta ,\) if \(A > B\)
4 \(\alpha < \beta ,\) if \(A = B\)
PHXI04:MOTION IN A PLANE

361797 Forces \({F_1}\) and \({F_2}\) act on a point in two mutually perpendicular directions. The resultant force on the point mass will be

1 \({F_1} + {F_2}\)
2 \({F_1} - {F_2}\)
3 \(\sqrt {F_1^2 + F_2^2} \)
4 \(F_1^2 + F_2^2\)
PHXI04:MOTION IN A PLANE

361793 A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis. The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will be

1 \(\dfrac{1}{\sqrt{3}}\)
2 \(6\)
3 \(2\)
4 \(\sqrt{3}\)
PHXI04:MOTION IN A PLANE

361794 A body at rest under the action of three forces, two of which are \({{\vec F}_1} = 4\hat i,{{\vec F}_2} = 6\hat j\), the third force is

1 \(4\hat i + 6\hat j\)
2 \(4\hat i - 6\hat j\)
3 \( - \,4\hat i + 6\hat j\)
4 \( - \,4\hat i - 6\hat j\)
PHXI04:MOTION IN A PLANE

361795 The angle bewteen \(A = \hat i + \hat j\) and \(B = \hat i - \hat j\) is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(30^\circ \)
PHXI04:MOTION IN A PLANE

361796 If the resultant of \(A\) and \(B\) makes angle \(\alpha \) with \(A\) and \(\beta \) with \(B\), then

1 \(\alpha < \beta \), always
2 \(\alpha < \beta ,\) if \(A < B\)
3 \(\alpha < \beta ,\) if \(A > B\)
4 \(\alpha < \beta ,\) if \(A = B\)
PHXI04:MOTION IN A PLANE

361797 Forces \({F_1}\) and \({F_2}\) act on a point in two mutually perpendicular directions. The resultant force on the point mass will be

1 \({F_1} + {F_2}\)
2 \({F_1} - {F_2}\)
3 \(\sqrt {F_1^2 + F_2^2} \)
4 \(F_1^2 + F_2^2\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

361793 A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis. The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will be

1 \(\dfrac{1}{\sqrt{3}}\)
2 \(6\)
3 \(2\)
4 \(\sqrt{3}\)
PHXI04:MOTION IN A PLANE

361794 A body at rest under the action of three forces, two of which are \({{\vec F}_1} = 4\hat i,{{\vec F}_2} = 6\hat j\), the third force is

1 \(4\hat i + 6\hat j\)
2 \(4\hat i - 6\hat j\)
3 \( - \,4\hat i + 6\hat j\)
4 \( - \,4\hat i - 6\hat j\)
PHXI04:MOTION IN A PLANE

361795 The angle bewteen \(A = \hat i + \hat j\) and \(B = \hat i - \hat j\) is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(30^\circ \)
PHXI04:MOTION IN A PLANE

361796 If the resultant of \(A\) and \(B\) makes angle \(\alpha \) with \(A\) and \(\beta \) with \(B\), then

1 \(\alpha < \beta \), always
2 \(\alpha < \beta ,\) if \(A < B\)
3 \(\alpha < \beta ,\) if \(A > B\)
4 \(\alpha < \beta ,\) if \(A = B\)
PHXI04:MOTION IN A PLANE

361797 Forces \({F_1}\) and \({F_2}\) act on a point in two mutually perpendicular directions. The resultant force on the point mass will be

1 \({F_1} + {F_2}\)
2 \({F_1} - {F_2}\)
3 \(\sqrt {F_1^2 + F_2^2} \)
4 \(F_1^2 + F_2^2\)
PHXI04:MOTION IN A PLANE

361793 A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis. The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will be

1 \(\dfrac{1}{\sqrt{3}}\)
2 \(6\)
3 \(2\)
4 \(\sqrt{3}\)
PHXI04:MOTION IN A PLANE

361794 A body at rest under the action of three forces, two of which are \({{\vec F}_1} = 4\hat i,{{\vec F}_2} = 6\hat j\), the third force is

1 \(4\hat i + 6\hat j\)
2 \(4\hat i - 6\hat j\)
3 \( - \,4\hat i + 6\hat j\)
4 \( - \,4\hat i - 6\hat j\)
PHXI04:MOTION IN A PLANE

361795 The angle bewteen \(A = \hat i + \hat j\) and \(B = \hat i - \hat j\) is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(30^\circ \)
PHXI04:MOTION IN A PLANE

361796 If the resultant of \(A\) and \(B\) makes angle \(\alpha \) with \(A\) and \(\beta \) with \(B\), then

1 \(\alpha < \beta \), always
2 \(\alpha < \beta ,\) if \(A < B\)
3 \(\alpha < \beta ,\) if \(A > B\)
4 \(\alpha < \beta ,\) if \(A = B\)
PHXI04:MOTION IN A PLANE

361797 Forces \({F_1}\) and \({F_2}\) act on a point in two mutually perpendicular directions. The resultant force on the point mass will be

1 \({F_1} + {F_2}\)
2 \({F_1} - {F_2}\)
3 \(\sqrt {F_1^2 + F_2^2} \)
4 \(F_1^2 + F_2^2\)
PHXI04:MOTION IN A PLANE

361793 A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis. The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will be

1 \(\dfrac{1}{\sqrt{3}}\)
2 \(6\)
3 \(2\)
4 \(\sqrt{3}\)
PHXI04:MOTION IN A PLANE

361794 A body at rest under the action of three forces, two of which are \({{\vec F}_1} = 4\hat i,{{\vec F}_2} = 6\hat j\), the third force is

1 \(4\hat i + 6\hat j\)
2 \(4\hat i - 6\hat j\)
3 \( - \,4\hat i + 6\hat j\)
4 \( - \,4\hat i - 6\hat j\)
PHXI04:MOTION IN A PLANE

361795 The angle bewteen \(A = \hat i + \hat j\) and \(B = \hat i - \hat j\) is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(60^\circ \)
4 \(30^\circ \)
PHXI04:MOTION IN A PLANE

361796 If the resultant of \(A\) and \(B\) makes angle \(\alpha \) with \(A\) and \(\beta \) with \(B\), then

1 \(\alpha < \beta \), always
2 \(\alpha < \beta ,\) if \(A < B\)
3 \(\alpha < \beta ,\) if \(A > B\)
4 \(\alpha < \beta ,\) if \(A = B\)
PHXI04:MOTION IN A PLANE

361797 Forces \({F_1}\) and \({F_2}\) act on a point in two mutually perpendicular directions. The resultant force on the point mass will be

1 \({F_1} + {F_2}\)
2 \({F_1} - {F_2}\)
3 \(\sqrt {F_1^2 + F_2^2} \)
4 \(F_1^2 + F_2^2\)