Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
Answer
A
They form an acute angle.
B
They form an obtuse angle.
C
They point in the same direction.
D
They point in opposite directions.
Explanation
Use the dot product formula: a · b = |a||b| cos θ. Here, 24 = 4 × 6 × cos θ, so cos θ = 1 and θ = 0°. Therefore, the vectors point in the same direction, choice C.
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