Question

6.4 Evaluate the expression:

v ⋅ w

Given the vectors:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

what can i do in this case

Answer 1

Answer on Question #42412 – Math - Analytic Geometry

Evaluate the expression:

v □ w

Given the vectors:

$$r = <8, 8, -6>; \quad v = <3, -8, -3>; \quad w = <-4, -2, -6>$$

what can i do in this case

Solution:

To find v · w means to find the dot product:

$$\begin{array}{l} v = <3, -8, -3> \\ w = <-4, -2, -6> \\ v \cdot w = 3 \cdot (-4) + (-8) \cdot (-2) + (-3) \cdot (-6) = 22 \\ \end{array}$$

Answer: v · w = 22

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