To find the cross product of two vectors, we can use the following properties:
i x j = k
j x k = i
k x i = j
j x i = -k (cross product is anti-commutative)
Therefore, i x j = k, j x k = i, k x i = j, and j x i = -k.
If A and B are parallel, their cross product is a zero vector: A x B = 0.
If A and B are orthogonal (perpendicular), the magnitude of their cross product is equal to the product of their magnitudes: ||A x B|| = ||A|| * ||B||.
For the unit vectors i, j and k, find i x j , j x k and k x i. What is j x i ?
If A and B are parallel, what is A x B?
If A and B are orthogonal, What is ||A x B|| ?
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