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Angle Between Two Vectors Using Dot Product

Authored by Barbara White

Mathematics

12th Grade

Angle Between Two Vectors Using Dot Product
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8 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the dot product of <1, -2> and <3, 2>.

1
<3, -4>
<4, 0>
-1

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the angle between vectors <1,3> and <2,-5>.

40.24°
49.76°
139.76°
92.57°

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the angle between the two vectors:

-0.789
142.1
100
0.789

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the dot product of the given vectors:

92
0
-92
none of the above

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the angle between the two vectors <3, 4> and <4, -3>

90°
45°
53.13°
106.26°

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the angle between v and w

21.8 degrees

111.8 degrees

68.2 degrees

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How do you know if two vectors are orthogonal?

Their sum is 0.
The dot product is 1.
The angle between them is 0°.
The dot product is 0.

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