Question 1(multiple choice worth 2 points)
find a ⋅ b.
a = 10i + 9j, b = 4i + 3j
< 40, 27>
< 14, 12>
67
-13
question 2(multiple choice worth 2 points)
find a ⋅ b.
a = < 2, 4> , b = < 2, 5>
< 4, 9>
24
< 4, 20>
16
question 3(multiple choice worth 2 points)
determine whether the vectors u and v are parallel, orthogonal, or neither.
u = < 6, -2> , v = < 2, 6>
neither
orthogonal
parallel
question 4(multiple choice worth 2 points)
find the angle between the given vectors to the nearest tenth of a degree.
u = < 8, 7> , v = < 9, 7>
-8.3°
1.7°
3.3°
13.3°
question 5 (essay worth 2 points)
evaluate the expression:
v ⋅ w
given the vectors:
r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>