If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. P A В Use the method above to find the distance from the point P(-3,1, 11) to the line B(-2,3, –4). through A(1,1,0) and NOTE: Enter the exact answer. Distance =

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Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

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Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

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Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Distance = 4.41

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

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Q: P(2,5, 4) and Q(8,3,3) Let be the line through P in vector direction (1,2,3) and let II be the plane…

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Q: L is a line in 2-space or 3-space that passes through the points A a then the distance from a point…

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