Calculate the angle between the vectors u = {5, -2, 3} and v ={4,-5,7}

Calculate the angle between the vectors u = {5, -2, 3} and v ={4,-5,7} give details.

Solutions

Expert Solution

First, calculate the dot product:{ 5-2,3}{4,-5,7} = -9

i e u ⋅ v

=−9

Next, find the lengths of the vectors:

u = √38

v=3/ √10

Finally, the angle is given by

cos x = -9/(√38× 3/√10)

or,x = arccos (-3√95//190)

or, x= 98.85°

Angel= arccos(-3√95/190)

Sankar Maity answered 2 years ago

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