SOLUTION: How can I use the vector product to find the angle between the vectors: v= 6i - 3j + k and w= 2i + 2j

SOLUTION: How can I use the vector product to find the angle between the vectors: v= 6i - 3j + k and w= 2i + 2j - k. ??? Any help would be great. -Nick

Question 334795: How can I use the vector product to find the angle between the vectors:
v= 6i - 3j + k and w= 2i + 2j - k. ???
Any help would be great.
-Nick
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How can I use the vector product to find the angle between the vectors:
v= 6i - 3j + k and w= 2i + 2j - k.
------------
The dot product is the product of the 2 magnitudes * cos of the angle between the vectors.
|v| = sqrt(36 + 9 + 1) = sqrt(46)
|w| = sqrt(4 + 4 + 1) = 3
----------------
v dot w = 6*2 + -3*2 + -1 = 5
5 = 3*sqrt(46)*cos(A)
cos(A) = 5/(3sqrt(46)) =~ 0.2457366
Angle =~ 75.7746 degs

RELATED QUESTIONS
Use the vector product to ﬁnd the angle between the vectors v = 6i-j+k and w=... (answered by Fombitz)

If a = 2i - 2j - k and b = -4i + 3j - 2k a) find the angle between the vectors b)... (answered by Alan3354)

Hi All, Having difficulty with this particular problem on a task sheet, any help... (answered by Fombitz)

find the dot product of vector v and vector w if: v=2i-3j... (answered by jim_thompson5910)

Find the angle (θ) between the vectors. Round your answer to the nearest tenth. (answered by Fombitz)

Hi all, Im still having trouble with these vector problems, I cant solve the problems... (answered by Alan3354)

u=3i+2j-k, v=i-3j+2k, find the unit vector in the direction of... (answered by Edwin McCravy)

Hi all, I was hoping someone would show me how to Find the scalar products of the... (answered by Fombitz)