Question10.6. Find the angle between the vectors
Studdy Solution
STEP 1
1. The angle between two vectors and can be found using the dot product formula.
2. The formula for the dot product is .
3. The magnitude of a vector is given by .
STEP 2
1. Calculate the dot product of and .
2. Calculate the magnitudes of and .
3. Use the dot product and magnitudes to find .
4. Solve for .
STEP 3
Calculate the dot product .
STEP 4
Calculate the magnitude of .
STEP 5
Calculate the magnitude of .
STEP 6
Use the dot product and magnitudes to find .
STEP 7
Solve for .
The angle between the vectors and is:
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