If for two vectors \(\overrightarrow{A}\) and \(\overrightarrow {B}\), \(\overrightarrow {A}\times \overrightarrow {B}=0\), then the vectors:
1. | are perpendicular to each other. |
2. | are parallel to each other. |
3. | act at an angle of \(60^{\circ}\). |
4. | act at an angle of \(30^{\circ}\). |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology\(\overrightarrow{A}\) and \(\overrightarrow B\) are two vectors and \(\theta\) is the angle between them. If \(\left|\overrightarrow A\times \overrightarrow B\right|= \sqrt{3}\left(\overrightarrow A\cdot \overrightarrow B\right),\) then the value of \(\theta\) will be:
1. | \(60^{\circ}\) | 2. | \(45^{\circ}\) |
3. | \(30^{\circ}\) | 4. | \(90^{\circ}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIf \(\left|\overrightarrow A\right|\ne \left|\overrightarrow B\right|\) and \(\left|\overrightarrow A \times \overrightarrow B\right|= \left|\overrightarrow A\cdot \overrightarrow B\right|\), then:
1. | \(\overrightarrow A \perp \overrightarrow B\) |
2. | \(\overrightarrow A ~|| ~\overrightarrow B\) |
3. | \(\overrightarrow A\) is antiparallel to \(\overrightarrow B\) |
4. | \(\overrightarrow A\) is inclined to \(\overrightarrow B\) at an angle of \(45^{\circ}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe scalar and vector product of two vectors, and is equal to:
1. \(-25\) &
2. \(25\) &
3. \(0\) &
4. \(-25\) &
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyGiven are two vectors, \(\overrightarrow{A} = \left(\right. 2 \hat{i} - 5 \hat{j} + 2 \hat{k} \left.\right)\) and \(\overrightarrow{B} = \left(4 \hat{i} - 10 \hat{j} + c \hat{k} \right).\) What should be the value of \(c\) so that vector \(\overrightarrow A \) and \(\overrightarrow B\) would becomes parallel to each other?
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyPrefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot
NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe value of the unit vector, which is perpendicular to both \(A=\hat{i} + 2\hat{j} + 3 \hat{k}\) and \(B= \hat{i} - 2\hat{j} - 3 \hat{k}\) :
1. \(\frac{\hat{i} + 2 \hat{j} + 3 \hat{k}}{6}\)
2. \(\frac{6\hat{j} -4 \hat{k}}{\sqrt{52}}\)
3. \(\frac{6\hat{j} +4 \hat{k}}{\sqrt{52}}\)
4. \(\frac{2\hat{i} - \hat{j}}{\sqrt{5}}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology