AP EAMCET · Maths · Vector Algebra
If \(\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+3 \hat{\mathrm{j}}+13 \hat{\mathrm{k}}\) and \(\overrightarrow{\mathrm{b}}=2 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\) are two vectors, then the component vector of \(\vec{a}\) perpendicular to \(\vec{b}\) is
- A \(\hat{\mathrm{i}}-\hat{\mathrm{j}}-2 \hat{\mathrm{k}}\)
- B \(3 \hat{i}+3 \hat{j}+2 \hat{k}\)
- C \(-\hat{\mathrm{i}}+7 \hat{\mathrm{j}}+10 \hat{\mathrm{k}}\)
- D \(4 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}\)
Answer & Solution
Correct Answer
(C) \(-\hat{\mathrm{i}}+7 \hat{\mathrm{j}}+10 \hat{\mathrm{k}}\)
Step-by-step Solution
Detailed explanation
Given \(\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+3 \hat{\mathrm{j}}+13 \hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=2 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\) Let the component of vector \(\vec{a}\) perpendicular to \(\vec{b}\) is \(\vec{x}\)…
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