Find the component vector v with given initial point P and Terminal point Q. Fin

Question

Find the component vector v with given initial point P and Terminal point Q. Find the length of v (|v|). Find the unit vector in the direction of v P(3, 3, -3); Q: (-3, 4, -3) The components are = v1 -4, v2 = -6, V3 = 0. The length is |v| = /50. The unit vector is in the direction of v is The components are = v1 4, v2 = 6, V3 = 0. The length is |v| = 50. The unit vector is in the direction of v is The components are v1 = -6, v2 = 1, V3 = 0. The length is |v| = The unit vector is in the direction of v The components are v1 = 0, v2 = 1, V3 = 6. The length is M = V37. The unit vector is in the direction of v is [ V37 V37 J C None of the above; see Problem Work

Explanation / Answer

v= <-3,4,-3> - <3,3,-3> = <-6, 1, 0>

Therefore, v1=-6, v2=1, v3=0

The length is sqrt(6^2 + 1^2) = sqrt(36+1) = sqrt(37)

The unit vector in the direction of v is (1/sqrt(37))<-6, 1, 0> = <-6/sqrt(37), 1/sqrt(37), 0>.

Thus the answer is C

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