Operations on Vectors and Dot Product

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

• 1
• <3, -4>
• <4, 0>
• -1

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Find the angle between the two vectors:

• -0.789
• 142.1
• 100
• 0.789

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

• 1
• <3, -4>
• <4, 0>
• -1

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Find the dot product of the given vectors:

• 92
• 0
• -92
• none of the above

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

• 90°
• 45°
• 53.13°
• 106.26°

Find the angle between v and w

• 21.8 degrees

• 111.8 degrees

• 68.2 degrees

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

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.