Angle Between Two Vectors Using Dot Product

What type of quantity is produced by the dot product of two vectors?

• scalar
• vector

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are orthogonal.

• They are neither.

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.

Given parallel vectors u and v. Answer ALL that apply

• their scalar product is zero

• their scalar product is either 1 or -1

• u is a scalar multiple of v

• magnitude of u equals the magnitude of v

• -24

• 24

• 48

• -48

What operation you need to find an angle between two vectors?

• Dot product between the two vectors

• Dot product between the two vectors divide the magnitude of both vectors

• Cosine inverse of dot product between the two vectors divide the magnitude of both vectors

• Cross product between the two vectors

What is the angle between two orthogonal vectors?

• 180 degree

• 90 degree

• 60 degree

• 45 degree

• 41

• 12

• 21

• 14

• 10

• --10

• 6/4

• 7/4

• 4/6

• 4/7