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Physics · JEE | SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Two vectors are given by \( \mathbf{a} = 3\hat{i} - 4\hat{j} + 5\hat{k} \) and \( \mathbf{b} = -2\hat{i} + \hat{j} + 3\hat{k} \). What is their scalar product \( \mathbf{a} \cdot \mathbf{b} \)?

  1. A
    -25
  2. B
    25
  3. C
    15
  4. D
    -15
View Answer & Solution

Correct answer · Option A

-25

Explanation

Scalar product is calculated as \( (3)(-2) + (-4)(1) + (5)(3) = -6 - 4 + 15 = -25 \).
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