Unit 7 Obj 6 HW

Which of the following result in a vector for the answer? Check all that apply.

• unit vector

• magnitude

• dot product

• position vector

• angle between vectors

Given points A(3, 2, -4) and B(2, 1, -1), what is the position vector AB?

• <1, 3, -5>

• <-1, -3, 3>

• <1, -1, -5>

• <-1, -1, 3>

Given the vector v = 3i -2j +6k, the magnitude of v is:
(meaning v=<3, -2, 6>)

• 36

• 49

• 7

• 6

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

If k=<-1, 0, 7> and M=<3, -2, 5>, find  $\parallel m+k\parallel$  :

• 13.23

• 12

• 144

•  $\sqrt{50}+\sqrt{38}$  

If k=<-1, 0, 7> and m=<3, -2, 5>, find  $k\cdot m$  :
(dot product, not multiplication!)

• <32>

• <-3, 0, 35>

• -105

• 32

If k=<-6, 0, 8> and m=<7, 2, 5>, find the Unit vector of k:

• 10

•  $<-3,\ 0,\ 4>$  

•  $<-\frac{3}{5},\ 0,\ \frac{4}{5}>$  

•  $\sqrt{78}$  

If k=<-6, 0, 8> and m=<7, 2, 5>, find the angle between the vectors: (find  $\theta$  )

•  $158.2\degree$  

•  $-82$  

•  $-.93\degree$  

• error