Home
Class 12
MATHS
If barr=hati+hatj+lambda(2hati+hatj+4hat...

If `barr=hati+hatj+lambda(2hati+hatj+4hatk)" and "barr*(hati+2hatj-hatk)=3` are the equations
of a line and plane respectively, then which of the following is truwe?

A

The line is perpendicular to the plane

B

The line lies in the plane

C

The line is parallel to the plane but doesn't lie in the plane.

D

The line cuts the plane obliquely.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If bara=hati+hatj,barb=2hati-hatj and barr=2hati-4hatj, then express vecr as linear combination of bara and barb

The lines barr=hati+2hatj+3hatk+lambda(hati+2hatj+3hatk) and barr=-2hatj+hatk+lambda(2hati+2hatj-2hatk) are

If 3hati-2hatj+5hatk and -2hati+phatj-qhatk are collinear vectors,then

If the line barr=hati+lambda(2hati-mhatj-3hatk) is parallel to the plane barr.(mhati+3hatj+hatk)=0 , then m is equal to

IF bar a=hati+hatj , barb=2hati-hatj and bar r=2hati-4hatj ,then express barr as linear combination of bara and barb

The line of intersection of the planes barr.(3hati-hatj+hatk)=1" and " barr.(hati+4hatj-2hatk)=2 is parallel to the vector

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find a if oversetrarrA = 3hati - 2hatj + 4hatk and oversetrarrB = ahati +2hatj - hatk are perpendicular to one another.

Show that vectors veca= 2hati+5hatj-6hatk and vecb=hati+5/2 hatj -3hatk are parallel.

If the angle between the planes barr.(xhati+hatj-hatk)=4 and barr.(hati+xhatj+hatk)= -1 is (pi)/(3) , then the value of x is