COMEDK · Maths · 28. Indefinite Integration
Position vector of P and Q are \(\hat{\imath}+3 \hat{\jmath}-7 \hat{k}\) and \(5 \hat{\imath}-2 \hat{\jmath}+4 \hat{k}\) respectively. Then the cosine of the angle between \(\overrightarrow{P Q}\) and y -axis is
- A \(\dfrac{5}{\sqrt{162}}\)
- B \(-\dfrac{4}{\sqrt{162}}\)
- C \(\dfrac{4}{\sqrt{162}}\)
- D \(-\dfrac{5}{\sqrt{162}}\)
Answer & Solution
Correct Answer
(D) \(-\dfrac{5}{\sqrt{162}}\)
Step-by-step Solution
Detailed explanation
The position vectors are \(\vec{OP} = \hat{i} + 3\hat{j} - 7\hat{k}\) and \(\vec{OQ} = 5\hat{i} - 2\hat{j} + 4\hat{k}\). The vector \(\overrightarrow{PQ}\) is given by…
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