QuestionIf and Compute the cross product .
Studdy Solution
STEP 1
1. Vectors and are given in component form.
2. The cross product of two vectors results in a vector that is perpendicular to both.
3. The cross product of two identical vectors is the zero vector.
STEP 2
1. Identify the components of vectors and .
2. Use the formula for the cross product of two vectors.
3. Compute the cross product .
STEP 3
Identify the components of vectors and :
STEP 4
Recall the formula for the cross product of two vectors and :
STEP 5
Apply the cross product formula to vectors and :
Since , the cross product is:
Simplifying each term:
The cross product is:
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