Question

A vector $\overrightarrow{A}$ of magnitude $5\sqrt{3}$ units, another vector $\overrightarrow{B}$ of magnitude 10 units are inclined to each other at an angle of 30ŗ. The magnitude of the vector product of the two vectors is–

• A. 1 units
• B. $5\sqrt{3}units$
• C. 75 units
• D. $25\sqrt{3}units$

Answer 1

Answer: (D)

$25\sqrt{3}units$

Answer 2

$\overrightarrow{A}$×$\overrightarrow{B}$ = $5\sqrt{3}$ × 10 × sin 30⁰

= 25 $\sqrt{3}$ units