Vector Algebra
Scalar Triple Product
Grade 12

Question:

<p>The value of <span>\(\frac{q}{p} + 2\cos\theta\)</span> is</p>
<p>(A) 1</p>
<p>(B) 0</p>
<p>(C) <span>\(2[\mathbf{a}\mathbf{b}\mathbf{c}]\)</span></p>
<p>(D) None of these</p>

Step-by-Step Solution

Key Concept: Use the relationships derived from the dot product equations with p, q, r.
Step 1: From the solution to Ex. 111, we derived that \(p = r\) and \(2p\cos\theta + q = 0\) . Step 2: Therefore: \(\frac{q}{p} + 2\cos\theta = -2\cos\theta + 2\cos\theta = 0\) ∴ Answer is B .
Correct Answer: B

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