Maths · Scalar and vector products
If then, with what scalar 'C must it be multiplied so that
If \( \vec{V}=3 \hat{i}+4 \hat{j} \) then, with what scalar 'C must it be multiplied so that \( C|\overrightarrow{\boldsymbol{V}}|= \) \( \mathbf{7 . 5}: \)
- A. 0.5
- B. 2.
- C. 1.5
- D. 3.5
Step-by-step solution
The magnitude of vector V is |V| = sqrt(3^2 + 4^2) = 5. Given C|V| = 7.5, we solve for C: C = 7.5 / 5 = 1.5.
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