Dot Product Quiz

Question 1 of 9

1

Select the expressions which are meaningful. Do not select the expressions which are meaningless and incorrect.

Select one or more of the following:

  • (a dot b) dot c

  • |a|(b dot c)

  • a*b + c

  • (a*b)c

  • a*(b+c)

  • |a|dot(b+c)

Explanation

Question 2 of 9

1

a dot b of <4,1, 1/4> and <6,-3,-8> is 19.

Select one of the following:

  • True
  • False

Explanation

Question 3 of 9

1

a dot b of: a=2i+j, b=i-j+k is 2.

Select one of the following:

  • True
  • False

Explanation

Question 4 of 9

1

Fill the blank space to complete the text.

Find the angle between the vectors. a = <3,-1,5>, b=<-2,4,3>. Ans: degrees

Explanation

Question 5 of 9

1

Fill the blank spaces to complete the text.

Find the three angles of the triangle with the given vertices.
P(2,0), Q(0,3), R(3,4)
Ans:
p= degrees
q= degrees
r= degrees

Explanation

Question 6 of 9

1

Determine whether the vectors are orthogonal, parallel, or neither.
a=<-5,3,7> , b=<6,-8,2>

Select one or more of the following:

  • Orthogonal

  • Parallel

  • Neither

Explanation

Question 7 of 9

1

Determine whether the vectors are orthogonal, parallel, or neither.
a = <4,6>, b=<-3,2>

Select one or more of the following:

  • Orthogonal

  • Parallel

  • Neither

Explanation

Question 8 of 9

1

Find the angles between the curves at their points of intersection.
y=x^2
y=x^3
ans:

Drag and drop to complete the text.

    7/(5(sqrt2))

Explanation

Question 9 of 9

1

Fill the blank spaces to complete the text.

Find the scalar and vector projections of b onto a.
a=<3,6,-2>, b=<1,2,3>
ans:
comp_a(b)=
proj_a(b) = <>

Explanation

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