Vector Algebra Question 20
Question: The component of $\hat{i}+\hat{j}$ along $\hat{j}+\hat{k}$ will be
Options:
A) $\frac{\hat{i}+\hat{j}}{2}$
B) $\frac{\hat{j}+\hat{k}}{2}$
C) $\frac{\hat{k}+\hat{i}}{2}$
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- $ [ (\mathbf{i}+\mathbf{j}),.,\frac{(\mathbf{j}+\mathbf{k})}{\sqrt{2}} ]\frac{(\mathbf{j}+\mathbf{k})}{\sqrt{2}}=\frac{(\mathbf{j}+\mathbf{k})}{2}. $