CUET · MATHS · PYQ PAPER 2023
The projection of \(\hat{i}-\hat{j}\) on the vector \(\hat{i}+\hat{j}\) is :
- A \(\sqrt{2}\)
- B \(\frac{1}{\sqrt{2}}\)
- C 2
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\( (\hat{i}-\hat{j}) \cdot (\hat{i}+\hat{j}) = 1(1) + (-1)(1) = 1-1=0 \) \( |\hat{i}+\hat{j}| = \sqrt{1^2+1^2} = \sqrt{2} \) \( \text{Projection} = \frac{0}{\sqrt{2}} = 0 \)
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