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Use the Property of the Cross Product That u×v=uvsinθ| \mathbf { u } \times \mathbf { v } | = | \mathbf { u } | | \mathbf { v } | \sin \theta

Question 163

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Use the property of the cross product that u×v=uvsinθ| \mathbf { u } \times \mathbf { v } | = | \mathbf { u } | | \mathbf { v } | \sin \theta to derive a formula for the distance d from a point P to a line l. Use this formula to find the distance from the origin to the line through (2, 1, -4) and (3, 3, -2).

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Let u be a vector from l to P,...

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