DOT PRODUCT AND CROSS PRODUCT
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VECTORS

268941 If \(\vec{A}\) and \(\vec{B}\) are two vectors, then which of the following is wrong ?

1 \(\vec{A} \cdot \vec{B}=\vec{B} \cdot \vec{A}\)
2 \(\vec{A}+\vec{B}=\vec{B}+\vec{A}\)
3 \(\vec{A} \times \vec{B}=\vec{B} \times \vec{A}\)
4 \(\vec{A} \times \vec{B}=-\vec{B} \times \vec{A}\)
VECTORS

268942 The angle between \((\vec{A} \times \vec{B})\) and \((\vec{B} \times \vec{A})\) is (in radian)

1 \(\pi / 2\)
2 \(\pi\)
3 \(\pi / 4\)
4 zero
VECTORS

268943 If none of the vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are zero and if \(\vec{A} \times \vec{B}=0\) and \(\vec{B} \times \vec{C}=0\) the value of \(\vec{A} \times \vec{C}\) is

1 unity
2 zero
3 \(B^{2}\)
4 \(\mathrm{AC} \cos\)
VECTORS

268944 Choose the false statement

1 A vector having zero magnitude can have a direction
2 If \(\vec{A} \times \vec{B}=\overrightarrow{0}\), then either \(\vec{A}\) or \(\vec{B}\) or both must have zero magnitude
3 The component of a vector is a vector
4 all the above
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VECTORS

268941 If \(\vec{A}\) and \(\vec{B}\) are two vectors, then which of the following is wrong ?

1 \(\vec{A} \cdot \vec{B}=\vec{B} \cdot \vec{A}\)
2 \(\vec{A}+\vec{B}=\vec{B}+\vec{A}\)
3 \(\vec{A} \times \vec{B}=\vec{B} \times \vec{A}\)
4 \(\vec{A} \times \vec{B}=-\vec{B} \times \vec{A}\)
VECTORS

268942 The angle between \((\vec{A} \times \vec{B})\) and \((\vec{B} \times \vec{A})\) is (in radian)

1 \(\pi / 2\)
2 \(\pi\)
3 \(\pi / 4\)
4 zero
VECTORS

268943 If none of the vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are zero and if \(\vec{A} \times \vec{B}=0\) and \(\vec{B} \times \vec{C}=0\) the value of \(\vec{A} \times \vec{C}\) is

1 unity
2 zero
3 \(B^{2}\)
4 \(\mathrm{AC} \cos\)
VECTORS

268944 Choose the false statement

1 A vector having zero magnitude can have a direction
2 If \(\vec{A} \times \vec{B}=\overrightarrow{0}\), then either \(\vec{A}\) or \(\vec{B}\) or both must have zero magnitude
3 The component of a vector is a vector
4 all the above
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VECTORS

268941 If \(\vec{A}\) and \(\vec{B}\) are two vectors, then which of the following is wrong ?

1 \(\vec{A} \cdot \vec{B}=\vec{B} \cdot \vec{A}\)
2 \(\vec{A}+\vec{B}=\vec{B}+\vec{A}\)
3 \(\vec{A} \times \vec{B}=\vec{B} \times \vec{A}\)
4 \(\vec{A} \times \vec{B}=-\vec{B} \times \vec{A}\)
VECTORS

268942 The angle between \((\vec{A} \times \vec{B})\) and \((\vec{B} \times \vec{A})\) is (in radian)

1 \(\pi / 2\)
2 \(\pi\)
3 \(\pi / 4\)
4 zero
VECTORS

268943 If none of the vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are zero and if \(\vec{A} \times \vec{B}=0\) and \(\vec{B} \times \vec{C}=0\) the value of \(\vec{A} \times \vec{C}\) is

1 unity
2 zero
3 \(B^{2}\)
4 \(\mathrm{AC} \cos\)
VECTORS

268944 Choose the false statement

1 A vector having zero magnitude can have a direction
2 If \(\vec{A} \times \vec{B}=\overrightarrow{0}\), then either \(\vec{A}\) or \(\vec{B}\) or both must have zero magnitude
3 The component of a vector is a vector
4 all the above
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VECTORS

268941 If \(\vec{A}\) and \(\vec{B}\) are two vectors, then which of the following is wrong ?

1 \(\vec{A} \cdot \vec{B}=\vec{B} \cdot \vec{A}\)
2 \(\vec{A}+\vec{B}=\vec{B}+\vec{A}\)
3 \(\vec{A} \times \vec{B}=\vec{B} \times \vec{A}\)
4 \(\vec{A} \times \vec{B}=-\vec{B} \times \vec{A}\)
VECTORS

268942 The angle between \((\vec{A} \times \vec{B})\) and \((\vec{B} \times \vec{A})\) is (in radian)

1 \(\pi / 2\)
2 \(\pi\)
3 \(\pi / 4\)
4 zero
VECTORS

268943 If none of the vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are zero and if \(\vec{A} \times \vec{B}=0\) and \(\vec{B} \times \vec{C}=0\) the value of \(\vec{A} \times \vec{C}\) is

1 unity
2 zero
3 \(B^{2}\)
4 \(\mathrm{AC} \cos\)
VECTORS

268944 Choose the false statement

1 A vector having zero magnitude can have a direction
2 If \(\vec{A} \times \vec{B}=\overrightarrow{0}\), then either \(\vec{A}\) or \(\vec{B}\) or both must have zero magnitude
3 The component of a vector is a vector
4 all the above
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