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If a = i − 3k and b = j k, find a × b

User Kori
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Final answer:

The cross product of vectors a and b is 3i + 3j + 4k.

Step-by-step explanation:

To find the cross product of vectors a and b, we can use the formula a x b = ( a2b3 - a3b2 )i + ( a3b1 - a1b3 )j + ( a1b2 - a2b1 )k.

Substituting the given values a = i - 3k and b = jk, we have a x b = ((1)(0) - (-3)(1))i + ((-3)(1) - (1)(0))j + ((1)(1) - (1)(-3))k. Simplifying further, we get a x b = 3i + 3j + 4k.

User Tufan
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