Vector Review

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

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Given the vector v = 3i -2j +6k, the magnitude of a is:

• 36

• 49

• 7

• 6

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Determine the components of the vector:

• <5, 8.7>

• <8.7, 5>

• <59.1, 10.4>

• <10.4, 59.1>

Determine the components of the vector: magnitude= 12 and

direction= 125^o

• < -9.9, 6.9 >

• < 9.9, -6.9 >

• < -6.9, 9.8 >

• < 6.9, -9.8 >

Determine the direction of the vector <-1, 3>

• 161 degrees

• -72 degrees

• 288 degrees

• 108 degrees

Given vector a and b respectively,  $\overrightarrow{a}=i+4j-7k$  and  $\overrightarrow{b}=5i-2j-3k$  . 
Find the dot product.

Given vector a and b respectively,  $\overrightarrow{a}=i+4j-7k$  and  $\overrightarrow{b}=5i-2j-3k$  . 
Find the angle between a and b. (round it to the nearest thousandth degree)

Given vector a and b respectively,  $\overrightarrow{a}=i+4j-7k$  and  $\overrightarrow{b}=5i-2j-3k$  . 
Find cross product of these two vectors,  $\overrightarrow{b}\times\overrightarrow{a}$ 

• 25i + 31j + 23k
  

• 26i + 32j + 22k

• 26i + 31j + 23k

• -26i - 32j + 22k

Consider vector a and b,  $\overrightarrow{a}=2i+5j-3k$  and  $\overrightarrow{b}=7i-4j-2k$ . Select the answer that applies.

• vector a and vector b are parallel to each other,
  

• vector a and vector b are perpendicular to each other
  

• vector a and vector b form a certain value of angle between 0 to 90 degrees
  

• vector a and vector b form a certain value of angle between 90 to 180 degrees.