3D vision

Geometry Level 3

What is the angle between the lines 2 x = 3 y = − z 2x =3y= -z and 6 x = − y = − 4 z 6x =-y =-4z ?

π 4 \frac\pi4 None of the other choices π 3 \frac\pi3 π 6 \frac\pi6 0 0 π \pi

Krishna Shankar by Krishna Shankar , 23, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Michael Mendrin
Jul 10, 2016

The dot product is 0, so that the lines are right angles to each other. That is, if t t is the parameter, then

( t ) ( t ) + ( 2 3 t ) ( − 6 t ) + ( − 2 t ) ( − 6 4 t ) = 0 (t)(t)+(\dfrac{2}{3}t)(-6t)+(-2t)(-\dfrac{6}{4} t) = 0

3 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...