Question:
If \( r = a \times b \times c + \beta \cdot a + \gamma \cdot b + [a \, b \, c] = 2 \), then \( a + \beta + \gamma \) is equal to?
If \( r = a \times b \times c + \beta \cdot a + \gamma \cdot b + [a \, b \, c] = 2 \), then \( a + \beta + \gamma \) is equal to?
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Algebraic manipulation and substitution are key to solving problems involving vectors and scalar products.
Updated On: Jan 12, 2026
- \( [b \cdot c + a \times b] \)
- \( \frac{1}{2} (a + b + c) \)
- \( 2a + b + c \)
- None of these
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The Correct Option is B
Solution and Explanation
By simplifying the given expression using algebraic manipulation, we can solve for \( a + \beta + \gamma \) as \( \frac{1}{2} (a + b + c) \).
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