Question

Let ? = ? + 2? + 3? and ? = −4? + 6? + ??,...

Let ? = ? + 2? + 3? and ? = −4? + 6? + ??, where ? represents a real number.

Express the cross product ? × ? in terms of ? and in component form, 〈?, ?, ?〉.

Determine the value of ? for which ? × ? is parallel to the vector ? = 〈15, 3, −7〉.

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