TS EAMCET · Maths · Vector Algebra
If \(\vec{a}=4 \hat{i}+5 \hat{j}-3 \hat{k}\) and \(\vec{b}=6 \hat{i}-2 \hat{j}-2 \hat{k}\) are two vectors, then the magnitude of the components of parallel to \(\vec{a}\) is
- A \(2 \sqrt{2}\)
- B \(10 \sqrt{2}\)
- C \(4 \sqrt{2}\)
- D \(6 \sqrt{2}\)
Answer & Solution
Correct Answer
(A) \(2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(\vec{a}=4 \hat{i}+5 \hat{j}-3 \hat{k}, \vec{b}=6 \hat{i}-2 \hat{j}-2 \hat{k}\) Magnitude of component of \(\vec{b}\) parallel to \(\vec{a}=\frac{|\vec{b} \cdot \vec{a}|}{|a|}\)…
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