Find the cross product a × b.a = 8, 0, −3, b = 0, 8, 0⟨24,0,64⟩ Verify that it is orthogonal to both a and b.
Question
Solution 1
To find the cross product of two vectors, a and b, we can use the formula:
a × b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)
Given that a = 8, 0, -3 and b = 0, 8, 0, we can substitute these values into the formula:
a × b = (0*(-3) - (-3)8, (-3)0 - 88, 88 - 0*0) = (0 + 24, 0 - 64, 64 - 0)
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