Vectors Quiz

Question 1 of 5

1

Fill the blank space to complete the text.

Find the sum of the given vectors:
<-1,4>, <6,-2> =

Explanation

Question 2 of 5

1

Fill the blank spaces to complete the text.

Find a + b, 2a + 3b, |a|, and |a-b|.
a=<5,-12>, b=<-3,-6>
Ans:
a+b =
2a+3b =
|a| =
|a-b| =

Explanation

Question 3 of 5

1

Find a unit vector that has the same direction as the given vector.
-3i + 7j is equal to the unit vector -3/sqrt(58) i + 7/sqrt(58) j.

Select one of the following:

  • True
  • False

Explanation

Question 4 of 5

1

Find a unit vector that has the same direction as the vector given.
8i - j + 4k

Select one of the following:

  • 9i - 9j + 9k

  • 1/9i -1/9j + 1/9k

  • 8/9i -1/9j + 4/9k

  • 8i - j + 4k

Explanation

Question 5 of 5

1

Fill the blank space to complete the text.

What is the angle between the vector and the positive direction of the x-axis?
i + sqrt(3)j = degrees

Explanation

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