Vector Algebra Question 77

Question: If one side of a square be represented by the vector $ 3\mathbf{i}+4\mathbf{j}+5\mathbf{k}, $ then the area of the square is

Options:

A) 12

B) 13

C) 25

D) 50

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ |\mathbf{a}|=\sqrt{9+16+25}=5\sqrt{2} $ Area $ =|\mathbf{a}{{|}^{2}}=25\times 2=50. $