SOLUTION: Given that a = 5i + 9j - 2k and b = -3i - 7j + 4k, find the direction cosines and a unit vector in the direction of 6a + 3b.
Algebra.Com
Question 1117162: Given that a = 5i + 9j - 2k and b = -3i - 7j + 4k, find the direction cosines and a unit vector in the direction of 6a + 3b.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a=(5,9,-2)
6a=(30,54,-12)
.
.
b=(-3,-7,4)
3b=(-9,-21,12)
.
.
c=6a+3b=(30-9,54-21,-12+12)=(21,33,0)
The direction cosines are then,
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