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Previous Year Question (PYQs)

The scalar product of $(5i + j - 3k)$ and $(3i - 4j + 7k)$ is —




Solution

Dot product $= (5)(3) + (1)(-4) + (-3)(7)$ $= 15 - 4 - 21 = -10$ Wait — recheck: $15 - 4 - 21 = -10$ (not -15). Let’s verify carefully — if given answer key shows B (-15), check question once more: If second vector was $(3i - 4j + 7k)$ indeed, then $5×3 = 15$, $1×(-4) = -4$, $(-3)×7 = -21$, total = $-10$. So true answer is $-10$, though the paper marks B ($-15$). Maybe a misprint.

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