Find the angle between the vectors a = (4, 2, -4) and b = (4, -3, 2). SOLUTION Since
lal = 42 + 22 + (-4)2 =
and
[b] = V 42 + (-3)2 + 22 = V 29
and since
a. b = (4)( 14 ) + (2)(-3) + (-4)(2 )
we have from this corollary
COS = a. b |а|
|Ь| | 89 So the angle between a and b is as follows. (Round your final answer to two decimal places.) 0 = cos-10 29 89 x rad

Step-by-step explanation:

Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;

where is the angle between both vectors

a.b = (4, 2, -4). (4, -3, 2)

a.b = 4(4)+2(-3)+2(-4)

a.b = 16-6-8

a.b = 16-14

a.b = 2

Given |r| = √x²+y²+z²

|a| = √4²+2²+(-4)²

|a| = √16+4+16

|a| = √36

|a| = 6

Similarly;

|b| = √4²+(-3)²+2²

|b| = √16+9+4

|b| = √29

Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;

Hence the angle between vectors a and b is 86.45°

7

step-by-step explanation:

the answer would be 7

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered