Vector Product of Two Vectors
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366237 The area of the parallelogram whose sides are represented by the vectors \(\hat j + 3\hat k\) and \(\hat i + 2\hat j - \hat k\) is

1 \(\sqrt {61} \,\,sq.\,unit\)
2 \(\sqrt {59} \,sq.\,unit\)
3 \(\sqrt {49} \,sq.\,unit\)
4 \(\sqrt {52} \,sq.\,unit\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366238 Scalar product of two vectors is \(2 \sqrt{3}\) and the magnitude of their vector product is equal to \(2,\) then the angle (in degrees) between them will be

1 \(50^\circ \)
2 \(30^\circ \)
3 \(25^\circ \)
4 \(35^\circ \)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366239 The magnitudes of the two vectors \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) are a and b, respectively. The vector product of \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) cannot be

1 Equal to zero
2 Less than ab
3 Equal to ab
4 Greater than ab
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366240 If \(\overrightarrow A \cdot \overrightarrow B = 0\) and \(\overrightarrow A \times \overrightarrow B = 1\), then \({\vec A}\) and \({\vec B}\) are

1 Perpendicular unit vectors
2 Parallel unit vectors
3 Parallel
4 Perpendicular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366241 If \({c=\hat{i} \times(a \times \hat{i})+\hat{j} \times(a \times \hat{j})+\hat{k} \times(a \times \hat{k})}\) and \({c=n a}\). Find the value of \(n\)

1 2
2 5
3 9
4 1
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366237 The area of the parallelogram whose sides are represented by the vectors \(\hat j + 3\hat k\) and \(\hat i + 2\hat j - \hat k\) is

1 \(\sqrt {61} \,\,sq.\,unit\)
2 \(\sqrt {59} \,sq.\,unit\)
3 \(\sqrt {49} \,sq.\,unit\)
4 \(\sqrt {52} \,sq.\,unit\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366238 Scalar product of two vectors is \(2 \sqrt{3}\) and the magnitude of their vector product is equal to \(2,\) then the angle (in degrees) between them will be

1 \(50^\circ \)
2 \(30^\circ \)
3 \(25^\circ \)
4 \(35^\circ \)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366239 The magnitudes of the two vectors \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) are a and b, respectively. The vector product of \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) cannot be

1 Equal to zero
2 Less than ab
3 Equal to ab
4 Greater than ab
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366240 If \(\overrightarrow A \cdot \overrightarrow B = 0\) and \(\overrightarrow A \times \overrightarrow B = 1\), then \({\vec A}\) and \({\vec B}\) are

1 Perpendicular unit vectors
2 Parallel unit vectors
3 Parallel
4 Perpendicular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366241 If \({c=\hat{i} \times(a \times \hat{i})+\hat{j} \times(a \times \hat{j})+\hat{k} \times(a \times \hat{k})}\) and \({c=n a}\). Find the value of \(n\)

1 2
2 5
3 9
4 1
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366237 The area of the parallelogram whose sides are represented by the vectors \(\hat j + 3\hat k\) and \(\hat i + 2\hat j - \hat k\) is

1 \(\sqrt {61} \,\,sq.\,unit\)
2 \(\sqrt {59} \,sq.\,unit\)
3 \(\sqrt {49} \,sq.\,unit\)
4 \(\sqrt {52} \,sq.\,unit\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366238 Scalar product of two vectors is \(2 \sqrt{3}\) and the magnitude of their vector product is equal to \(2,\) then the angle (in degrees) between them will be

1 \(50^\circ \)
2 \(30^\circ \)
3 \(25^\circ \)
4 \(35^\circ \)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366239 The magnitudes of the two vectors \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) are a and b, respectively. The vector product of \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) cannot be

1 Equal to zero
2 Less than ab
3 Equal to ab
4 Greater than ab
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366240 If \(\overrightarrow A \cdot \overrightarrow B = 0\) and \(\overrightarrow A \times \overrightarrow B = 1\), then \({\vec A}\) and \({\vec B}\) are

1 Perpendicular unit vectors
2 Parallel unit vectors
3 Parallel
4 Perpendicular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366241 If \({c=\hat{i} \times(a \times \hat{i})+\hat{j} \times(a \times \hat{j})+\hat{k} \times(a \times \hat{k})}\) and \({c=n a}\). Find the value of \(n\)

1 2
2 5
3 9
4 1
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366237 The area of the parallelogram whose sides are represented by the vectors \(\hat j + 3\hat k\) and \(\hat i + 2\hat j - \hat k\) is

1 \(\sqrt {61} \,\,sq.\,unit\)
2 \(\sqrt {59} \,sq.\,unit\)
3 \(\sqrt {49} \,sq.\,unit\)
4 \(\sqrt {52} \,sq.\,unit\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366238 Scalar product of two vectors is \(2 \sqrt{3}\) and the magnitude of their vector product is equal to \(2,\) then the angle (in degrees) between them will be

1 \(50^\circ \)
2 \(30^\circ \)
3 \(25^\circ \)
4 \(35^\circ \)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366239 The magnitudes of the two vectors \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) are a and b, respectively. The vector product of \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) cannot be

1 Equal to zero
2 Less than ab
3 Equal to ab
4 Greater than ab
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366240 If \(\overrightarrow A \cdot \overrightarrow B = 0\) and \(\overrightarrow A \times \overrightarrow B = 1\), then \({\vec A}\) and \({\vec B}\) are

1 Perpendicular unit vectors
2 Parallel unit vectors
3 Parallel
4 Perpendicular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366241 If \({c=\hat{i} \times(a \times \hat{i})+\hat{j} \times(a \times \hat{j})+\hat{k} \times(a \times \hat{k})}\) and \({c=n a}\). Find the value of \(n\)

1 2
2 5
3 9
4 1
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366237 The area of the parallelogram whose sides are represented by the vectors \(\hat j + 3\hat k\) and \(\hat i + 2\hat j - \hat k\) is

1 \(\sqrt {61} \,\,sq.\,unit\)
2 \(\sqrt {59} \,sq.\,unit\)
3 \(\sqrt {49} \,sq.\,unit\)
4 \(\sqrt {52} \,sq.\,unit\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366238 Scalar product of two vectors is \(2 \sqrt{3}\) and the magnitude of their vector product is equal to \(2,\) then the angle (in degrees) between them will be

1 \(50^\circ \)
2 \(30^\circ \)
3 \(25^\circ \)
4 \(35^\circ \)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366239 The magnitudes of the two vectors \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) are a and b, respectively. The vector product of \(\overrightarrow a \;{\rm{and}}\;\overrightarrow b \) cannot be

1 Equal to zero
2 Less than ab
3 Equal to ab
4 Greater than ab
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366240 If \(\overrightarrow A \cdot \overrightarrow B = 0\) and \(\overrightarrow A \times \overrightarrow B = 1\), then \({\vec A}\) and \({\vec B}\) are

1 Perpendicular unit vectors
2 Parallel unit vectors
3 Parallel
4 Perpendicular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366241 If \({c=\hat{i} \times(a \times \hat{i})+\hat{j} \times(a \times \hat{j})+\hat{k} \times(a \times \hat{k})}\) and \({c=n a}\). Find the value of \(n\)

1 2
2 5
3 9
4 1