Multiplying vectors

Find the angle between the two vectors:

• -0.789
• 142.1
• 100
• 0.789

Definition: The slope of a vector

• Magnitude

• Direction

• Vector Operations

• Dot Product

The points P , Q and R are collinear. It is given that

PQ = 3p + 2q and QR = ( 1-k )p + 4q where k is a constant. Find the ratio of PQ : QR

• 1:2

• 2:1

• 2:3

• 1:3

Find the dot product of w • v where w=<-4, 5> and v = <-2,9>

• -46

• -38

• 53

• 8

If $\overrightarrow{OA}=\left(1,2\right)\ and\ \overrightarrow{OB}=\left(4,2\right)$ , and  $\theta=\angle\left(\overrightarrow{OA},\ \overrightarrow{OB}\right)$  then $\tan\theta=$  

• 3/5

• 3/4

• 4/3

• 9/16

• 16/9

Find the cross product of (3,4,7) and (4,9,2).

• (-55, 22, 11)

• (-55, -22, -9)

• (71,34, 63)

• (-71, -34, -630

Determine if the following vectors are orthogonal, parallel or neither. 〈6 ,2 〉 and 〈-1, 8 〉

• Orthogonal

• Parallel

• Neither

If u and v are two vectors and k is a scalar , Which of the following is NOT

always true?

• u - v = v - u

• u ⊙ v = v ⊙ u

• K(u + v) = Kv + ku

• 2u + 3u = 5u