Question

ind a parametric equation and a vector equation of the line through the point (0, 2, 1) and parallel to vector v i j k = + + 3 3 . Then determine the intersection point of the line and the xy plane.

          ind a parametric equation and a vector equation of the line through the point 
(0, 2, 1)  and 
parallel to vector 
v i j k = + + 3 3
. Then determine the intersection point of the line and the 
xy  plane.
        

Added by Silvia L.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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ind a parametric equation and a vector equation of the line through the point (0, 2, 1) and parallel to vector v i j k = + + 3 3 . Then determine the intersection point of the line and the xy plane.
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Transcript

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00:01 Okay, here i want to find the vector equation of a line going through the point to 2 .4, 3 .5, and parallel to the vector 3i plus 2j minus k.
00:21 So, a straight line equation has the form r equals a plus tb, where a is a point on a line, in this case to 2 .4, 3 .5, and b is line direction, in this case 3i plus 2j minus k.
00:44 So i can write this...
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