Question
Find the cross product of v=(1 ,0, 1) and u=(2,6,4)
Answers
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To find the cross product of two vectors, we can use the following formula:
v x u = (v2u3 - v3u2, v3u1 - v1u3, v1u2 - v2u1)
where v1, v2, v3 are the components of vector v, and u1, u2, u3 are the components of vector u.
Using this formula, we can calculate the cross product of v and u as follows:
v x u = (0*4 - 1*6, 1*2 - 1*4, 1*6 - 0*2)
= (-6, -2, 6)
Therefore, the cross product of v and u is (-6, -2, 6).
v x u = (v2u3 - v3u2, v3u1 - v1u3, v1u2 - v2u1)
where v1, v2, v3 are the components of vector v, and u1, u2, u3 are the components of vector u.
Using this formula, we can calculate the cross product of v and u as follows:
v x u = (0*4 - 1*6, 1*2 - 1*4, 1*6 - 0*2)
= (-6, -2, 6)
Therefore, the cross product of v and u is (-6, -2, 6).