Operations on Vectors and Dot Product

What is the angle between the vectors given?

• 45.3^o

• 111.7^o

• 21.7^o

• 54.6^o

Calculate the dot product of the two vectors
v=1i+4j-3k and
u=1j- 2k

• 10

• 11

• 3

• -3

• A

• B

• C

• D

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

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

• their cross product is 0

• 7

• 6

• 5

• 4

• 3

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

• They are parallel.

• They are orthogonal.

• They are neither.