##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Dot Product and Angle Between Two Vectors (Grades 11-12)

Print Test (Only the test content will print)

## Dot Product and Angle Between Two Vectors

1.
Find the dot product of the given vectors.
$<< 8,4 >> " & " << -7, -9 >>$
1. 20
2. -92
3. 92
4. -20
2.
Find the dot product of $vecy$ and $vecx$ if $vec y = <<-3, 12>>$ and $vec x =<<-8, -2>>$.
1. 48
2. 0
3. -20
4. 10
3.
Find the dot product of the given vectors.
$vecu=-veci+5vecj$
$vecv=-6veci-2vecj$
1. 12
2. -16
3. 16
4. -4
4.
Find the dot product of the given vectors.
$vecu=<<3,9>>$
$vecv=<<6,5>>$
1. 63
2. 27
3. 23
4. 57
5.
Find the angle between the two vectors.
$<<3, 6>> " & " <<3, -8>>$
1. 142.87°
2. 122.62°
3. 132.88°
4. 150.03°
6.
Find the measure of the angle between the two vectors.
$<<-2, 2>>$
$<<8, -1>>$
1. 135.6°
2. 122.2°
3. 140.3°
4. 142.1°
7.
Find the angle between the two vectors.
$vecu=-8vecj$
$vecv=-9veci-2vecj$
1. 77.47°
2. 86.42°
3. 74.87°
4. 68.92°
8.
Are these two vectors parallel, orthogonal, or neither?
$<<4, -9>> " & " <<-9, 4>>$
1. parallel
2. orthogonal
3. neither
9.
Are these two vectors parallel, orthogonal, or neither?
$vec u=-5veci-2vecj$
$vecv=-10veci+25vecj$
1. parallel
2. orthogonal
3. neither
10.
Find the angle between the vectors $vec(HE) and vec(HK)$.
1. 49.6°
2. 154.5°
3. 86.8°
4. 35.7°
You need to be a HelpTeaching.com member to access free printables.