TS EAMCET · Maths · Vector Algebra
If \(\bar{a}=\hat{i}-2 \hat{j}+2 \hat{k}\) and \(\bar{b}=2 \hat{i}-3 \hat{j}+\hat{k}\), then the component of \(\bar{b}\) perpendicular to \(\bar{a}\) is
- A \(\frac{1}{3}(4 \hat{i}-5 \hat{j}+7 \hat{k})\)
- B \(\frac{1}{3}(8 \hat{i}-13 \hat{j}-\hat{k})\)
- C \(\frac{2}{3}(\hat{i}-2 \hat{j}-2 \hat{k})\)
- D \(\frac{1}{7}(\hat{i}-5 \hat{j}-17 \hat{k})\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{3}(4 \hat{i}-5 \hat{j}+7 \hat{k})\)
Step-by-step Solution
Detailed explanation
Given \(\vec{a}=\hat{i}-2 \hat{j}-2 \hat{k} \quad\) and \(\vec{b}=2 \hat{i}-3 \hat{j}+\hat{k} \quad\) now component of \(\vec{b}\) perpendicular to \(\vec{a}\) is given as…
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