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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
701. |
True and FalseIf \(\vec a\) and \(\vec b\) are adjacent sides of a rhombus, then \(\vec a . \vec b = 0.\) |
Answer» False Explanation: Given that, \(\vec a . \vec b = 0\) ⇒ \(\vec a \,and\, \vec b\) are perpendicular to each other. But, adjacent sides of rhombus are not perpendicular. |
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702. |
If θ be the angle between any two vectors a and b, then |a . b| = |a × b|, when θ is equal to(A) 0(B) π/4(C) π/2(D) π |
Answer» Correct answer is (B) π/4 |
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703. |
If a and b are unit vectors, then what is the angle between a and b for √3a - b to be a unit vector ?(A) 30º (B) 45º (C) 60º (D) 90º |
Answer» Correct answer is (A) 30º |
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704. |
Two foreces `vecP and vecQ` are acting at a point . If `vecP` is reversed, the new resultant becomes between magnitudes of P and Q is given by `P = KQ `. Find k. |
Answer» Correct Answer - 1 `vecR_(1) = vecQ + vecP` and `vecR_(2) = vecQ - vecP` Given that `vecR_(1)` and `vecR_(2)` are perpendicular, therefore, `vecR_(1) . vecR_(2) = 0` `(vecQ + vecP).(vecQ- vecP) = 0` `Q^(2) - P^(2) = 0` `Q^(2) =P^(2)` `Q^(2) = k^(2) Q^(2)` `rArr" "k= 1` |
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