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. Distance A Use the method above to find the distance from the point P(-3, 1,3) to the line through A(1,1,0) and B(−2, 3, –4). NOTE: Enter the exact answer. - B

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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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: 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: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: Find the cross product a × b. a = (6, 5, -4), b =(2, -1, 1) Verify that it is orthogonal to both a…

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Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and…

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

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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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