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Find the equation of the plane through t...

Find the equation of the plane through the line of intersection of ` vec rdot(2 hat i-3 hat j+4 hat k)=1a n d vec rdot( hat i- hat j)+4=0` and perpendicular to ` vec rdot(2 hat i- hat j+ hat k)+8=0.`

A

`3x-4y+4z=5`

B

`x-2y+4z=3`

C

`5x-2y-12z+47=0`

D

`2x+3y+4=0`

Text Solution

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The correct Answer is:
C
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Find the equation of the plane through the line of intersection of vec r*(2hat i-3hat j+4hat k)=tandvec r*(hat i-hat j)+4=0 and perpendicular to vec r.(2hat i-hat j+hat k)+8=0

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Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .

Find the equation of the plane through the line of intersection of the planes vec rdot(( hat i+3 hat j)+6=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0, which is at a unit distance from the origin.

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=5\ a n d\ vec rdot(( hat i-2 hat j+2 hat k)=9.

Show that the following planes are at right angle: vec rdot((2 hat i- hat j+ hat k)=5\ a n d\ vec rdot((- hat i- hat j+ hat k)=3.

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))
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