(b) Find the points in which the required line in part (a) intersects the coordinate planes.

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Chapter1: Functions And Models
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(a) Find symmetric equations for the line that passes through the point (5, -5, 7) and is parallel to the vector (-1, 4, -2).
x+5_y=5_z+7
4
-1
-2
0x-5_y+5_2-7
4
-1
-(x + 5) = 4(y – 5) = -2(z +
7).
Ox+ 5 = +5=2-27₁
y
4
-(x - 5) = 4(y + 5) = -2(z -
7).
(b) Find the points in which the required line in part (a) intersects the coordinate planes.
point of intersection with xy-plane
point of intersection with yz-plane
point of intersection with xz-plane
Transcribed Image Text:(a) Find symmetric equations for the line that passes through the point (5, -5, 7) and is parallel to the vector (-1, 4, -2). x+5_y=5_z+7 4 -1 -2 0x-5_y+5_2-7 4 -1 -(x + 5) = 4(y – 5) = -2(z + 7). Ox+ 5 = +5=2-27₁ y 4 -(x - 5) = 4(y + 5) = -2(z - 7). (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz-plane
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