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. \(10,~2\)
Subtopic:  Vector Product |
 75%
From NCERT
NEET - 2022
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NEET 2026 - Target Batch - Vital
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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. \(180^{\circ} \)
Subtopic:  Resultant of Vectors |
 75%
AIPMT - 2016
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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:  Scalar Product |
 64%
From NCERT
NEET - 2016
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NEET 2026 - Target Batch - Vital
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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. \(0^\circ\)
Subtopic:  Resultant of Vectors |
 80%
From NCERT
NEET - 2016
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
Hints
Links
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital