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Physics · JEE | WORK, ENERGY AND POWER

हिन्दी

Given two vectors \( \mathbf{A} = 3\hat{\mathbf{i}} + 4\hat{\mathbf{j}} - 5\hat{\mathbf{k}} \) and \( \mathbf{d} = 5\hat{\mathbf{i}} + 4\hat{\mathbf{j}} + 3\hat{\mathbf{k}} \), what is the scalar product \( \mathbf{A}\cdot\mathbf{d} \)?

  1. A
    \( 16\text{ unit} \)
  2. B
    \( 50\text{ unit} \)
  3. C
    \( 25\text{ unit} \)
  4. D
    \( 0\text{ unit} \)
View Answer & Solution

Correct answer · Option A

\( 16\text{ unit} \)

Explanation

Using \( \mathbf{A}\cdot\mathbf{d} = A_xd_x + A_yd_y + A_zd_z = 3(5) + 4(4) + (-5)(3) = 15 + 16 - 15 = 16\text{ units} \).
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