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Q. No.If \(\vec F=2\hat i+\hat j-\hat k\) and \(\vec r=3\hat i+2\hat j-2\hat k,\) then the scalar and vector products of \(\vec F\) and \(\vec r\) have the magnitudes, respectively, as:
1. \(5, ~\sqrt3\)
2. \(4,~ \sqrt5\)
3. \(10, ~\sqrt2\)
4. \(10,~2\)
1. \(5, ~\sqrt3\)
2. \(4,~ \sqrt5\)
3. \(10, ~\sqrt2\)
4. \(10,~2\)
Subtopic: Â Vector Product |
 75%
Level 2: 60%+
NEET - 2022
Hints
If the magnitude of the sum of two vectors is equal to the magnitude of the difference of the two vectors, the angle between these vectors is:
1. \(0^{\circ}\)
2. \(90^{\circ}\)
3. \(45^{\circ}\)
4. \(180^{\circ} \)
1. \(0^{\circ}\)
2. \(90^{\circ}\)
3. \(45^{\circ}\)
4. \(180^{\circ} \)
Subtopic: Â Resultant of Vectors |
 75%
Level 2: 60%+
AIPMT - 2016
Hints
Links
A particle moves from a point \(\left(\right. - 2 \hat{i} + 5 \hat{j} \left.\right)\) to \(\left(\right. 4 \hat{j} + 3 \hat{k} \left.\right)\) when a force of \(\left(\right. 4 \hat{i} + 3 \hat{j} \left.\right)\) \(\text{N}\) is applied. How much work has been done by the force?
| 1. | \(8\) J | 2. | \(11\) J |
| 3. | \(5\) J | 4. | \(2\) J |
Subtopic: Â Scalar Product |
 64%
Level 2: 60%+
NEET - 2016
Hints
Links
If the magnitude of the sum of two vectors is equal to the magnitude of the difference between the two vectors, the angle between these vectors is?
1. \(90^\circ\)
2. \(45^\circ\)
3. \(180^\circ\)
4. \(0^\circ\)
1. \(90^\circ\)
2. \(45^\circ\)
3. \(180^\circ\)
4. \(0^\circ\)
Subtopic: Â Resultant of Vectors |
 81%
Level 1: 80%+
NEET - 2016
Hints
Links
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- 1(current)
Q. No.
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