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This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.
1. |
There are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X [ a d ]. X represents cross product while . represents dot product. Vectors a & d are perpendicular. |
A. | 0 |
B. | <strong>(b . c)(e . f) [ d + a ]</strong> |
C. | <strong>(b . c)(e . f) [ d a ]</strong> |
D. | <strong>(b . c)(e . f) [ d X a ]</strong> |
Answer» C. <strong>(b . c)(e . f) [ d a ]</strong> | |
2. |
Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j & k are unit vectors along three mutually perpendicular axes. |
A. | -20i + 12j + k |
B. | 10i + 6j + 1/2k |
C. | 20i 12j k |
D. | 10i 6j -1/2k |
Answer» B. 10i + 6j + 1/2k | |
3. |
Regarding the velocity of a particle in uniform circular motion about a fixed axis, select the correct option. w & r angular velocity and radius vectors respectively. X & . represent cross & dot products respectively. |
A. | v = r X w |
B. | v = w X r |
C. | v = w.r |
D. | w = v.r |
Answer» C. v = w.r | |