Question

a and b are vectors defined by a = 8i + 2j - 3k and b = 3i - 6j + 4k, where I,j,k are mutually perpendicular unit vectors. Calculate a and b.

a. 1
b. 0
c. 2
d. 4

Answer 1

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Answer on Question #51025 – Math – Analytic Geometry

a and b are vectors defined by $a = 8i + 2j - 3k$ and $b = 3i - 6j + 4k$, where $i, j, k$ are mutually perpendicular unit vectors. Calculate $a \cdot b$.

a) 1

b) 0

c) 2

d) 4

Solution

Dot product $a \cdot b = 8 * 3 + 2 * (-6) + (-3) * 4 = 24 - 12 - 12 = 0$.

Answer: b) 0.