Develop a formula for finding the distance between the skew lines. L₁: x= x₁+ ait, y = y₁+ bit, z = z₁+ cit L2: x= x2 + a2s, y = y2 + b2s, z = z₂+ c₂s

Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

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Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

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Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: the distance between the two skew lines L and L2. L: x=3+3t, y=-1-4t, z=4+2t. L2: x=6+5p, y=3-p,…

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Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

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