To determine Find the parametrization for the line segments joining the given points and draw the coordinate axes and sketch each segments by indicating the increasing t direction. Explanation Given information: The line segments joining in the points P ( 0 , 2 , 0 ) and Q ( 3 , 0 , 0 ) . Formula used: The vector form for the two points P 1 ( x 1 , y 1 , z 1 ) and P 2 ( x 2 , y 2 , z 2 ) is calculated as follows, P 1 P 2 → = ( x 2 − x 1 ) i + ( y 2 − y 1 ) j + ( z 2 − z 1 ) k (1) The formula to calculate the parametric equations for a line through P 0 ( x 0 , y 0 , z 0 ) parallel to nonzero vector v = v 1 i + v 2 j + v 3 k is, x = x 0 + t v 1 (2) y = y 0 + t v 2 (3) z = z 0 + t v 3 (4) Calculation: The vectors form of the given two points P ( 0 , 2 , 0 ) and Q ( 3 , 0 , 0 ) are calculated as follows using equation (1). P Q → = ( 3 − 0 ) i + ( 0 − 2 ) j + ( 0 − 0 ) k = ( 3 i − 2 j + 0 k ) Assume the point P ( 0 , 2 , 0 ) is base point

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Chapter 12.5, Problem 18E

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Find the parametrization for the line segments joining the given points and draw the coordinate axes and sketch each segments by indicating the increasing t direction.

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Chapter 12.5, Problem 17E

Chapter 12.5, Problem 19E

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