Explanation Given info: Line passing through ( 0 , 0 , 0 ) Slope of projection of line on x y plane = 3 Slope of projection of line on y z plane = 5 Concept used: Assume any point ( x , y , z ) on the line, take the projection of general point ( x , y , z ) on x y plane and satisfy the given condition. Calculation: Let general point on the line ( x , y , z ) its projection of x y plane is ( x , y , 0 ) Given that y 2 − y 1 x 2 − x 1 = 3 ( Projection of line on x y plane also passing through origin, hence it passing through ( 0 , 0 , 0 ) and ( x , y , 0 ) ) x 1 = 0 , y 1 = 0 y 2 = y , x 2 = x y − 0 x − 0 = 3 y = 3 x ------- ( i ) Projection of ...

4th Edition

ISBN: 9781319434540

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 14.1, Problem 41E

To determine

The line through the origin whose projection on the $x y$ plane is a line slope $3$ . And whose projection on the $y z$ plane is a line of slope $5$ $i .e$ $(\frac{Δ z}{Δ y} = 5)$ .

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Chapter 14.1, Problem 40E

Chapter 14.1, Problem 42E

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Chapter 14 Solutions

ACHIEVE STANDALONE ACCESS F/ CALC 4E

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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The line through the origin whose projection on the x y plane is a line slope 3 . And whose projection on the y z plane is a line of slope 5 i .e ( Δ z Δ y = 5 ) .

Solution Summary: The author explains how to determine the projection of a line on the x y plane, and its slope, based on r ( t ) = 5.

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The line through the origin whose projection on the $x y$ plane is a line slope $3$ . And whose projection on the $y z$ plane is a line of slope $5$ $i .e$ $(\frac{Δ z}{Δ y} = 5)$ .

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Chapter 14 Solutions

The line through the origin whose projection on the x y plane is a line slope 3 . And whose projection on the y z plane is a line of slope 5 i .e ( Δ z Δ y = 5 ) .

Solution Summary: The author explains how to determine the projection of a line on the x y plane, and its slope, based on r ( t ) = 5.

Concept explainers

Videos

The line through the origin whose projection on the xy plane is a line slope 3. And whose projection on the yz plane is a line of slope 5i.e(ΔzΔy=5).

Want to see the full answer?

Chapter 14 Solutions

The line through the origin whose projection on the $x y$ plane is a line slope $3$ . And whose projection on the $y z$ plane is a line of slope $5$ $i .e$ $(\frac{Δ z}{Δ y} = 5)$ .