Quiz

Dot Product Quiz

Deleted user 9 questions Updated 4 Dec 2019

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Questions in this quiz (9)

1Select the expressions which are meaningful. Do not select the expressions which are meaningless and incorrect.
1. A(a dot b) dot c
2. B|a|(b dot c)
3. Ca*b + c
4. D(a*b)c
5. Ea*(b+c)
6. F|a|dot(b+c)
2a dot b of <4,1, 1/4> and <6,-3,-8> is 19.
1. ATrue
2. BFalse
3a dot b of: a=2i+j, b=i-j+k is 2.
1. ATrue
2. BFalse
4Find the angle between the vectors. a = <3,-1,5>, b=<-2,4,3>. Ans: [blank_start]81[blank_end] degrees
1. A81
5Find the three angles of the triangle with the given vertices.
P(2,0), Q(0,3), R(3,4)
Ans:
p= [blank_start]48[blank_end] degrees
q= [blank_start]75[blank_end] degrees
r= [blank_start]57[blank_end] degrees
1. A48
2. B75
3. C57
6Determine whether the vectors are orthogonal, parallel, or neither.
a=<-5,3,7> , b=<6,-8,2>
1. AOrthogonal
2. BParallel
3. CNeither
7Determine whether the vectors are orthogonal, parallel, or neither.
a = <4,6>, b=<-3,2>
1. AOrthogonal
2. BParallel
3. CNeither
8Find the angles between the curves at their points of intersection.
y=x^2
y=x^3
ans: [blank_start]7/(5(sqrt2))[blank_end]
1. A7/(5(sqrt2))
9Find the scalar and vector projections of b onto a.
a=<3,6,-2>, b=<1,2,3>
ans:
comp_a(b)= [blank_start]9/7[blank_end]
proj_a(b) = <[blank_start]27/49, 54,49, -18/49[blank_end]>
1. A9/7
2. B27/49, 54,49, -18/49