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. $