Home
Class 12
MATHS
Angle between lines barr=(hati+2hatj-h...

Angle between lines
`barr=(hati+2hatj-hatk)+lambda(3hati-4hatk)`and
`barr=(1-t)(4hati-hatj)+t(2hati+hatj-3hatk)` is

A

(a) `0`

B

(b) `(pi)/(2)`

C

(c) `cos^(-1)((18)/(5sqrt(14)))`

D

(d) `cos^(-1)((6)/(5sqrt(17)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The shortest distance between the lines barr=(4hati-hatj)+lambda(hati+2hatj-3hatk)andbarr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk) is

The shortest distance between lines barr=(hati-hatj)+lambda(2hati+hatk)andbarr=(2hati-hatj)+mu(hati-hatj-hatk) is

The equation of the plane containing lines barr=hati+2hatj-hatk+lambda(hati+2hatj-hatk) and barr=hati+2hatj-hatk+mu(hati+hatj+3hatk) is

Cosine of the angle between the lines barr=5hati-hatj+4hatk+lambda(hati+2hatj+2hatk) and barr=7hati+2hatj+2hatk+mu(3hati+2hatj+6hatk) is

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

The angle between the line barr=(2hati+3hatj+hatk)+lambda(hati+2hatj-hatk) and the plane barr.(2hati-hatj+hatk)=4 is

The point of intersection of lines barr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and barr=(2hati+6hatj+3hatk)+mu(2hati+3hatj+4hatk) is

The acute angle between the line barr=(3hati-hatj-hatk)+lambda(hati-hatj+hatk) and the plane barr.(3hati-4hatk)=4 is

The equation of line passing through (3,-1,2) and perpendicular to the lines vecr=(hati+hatj-hatk)+lamda(2hati-2hatj+hatk) and vecr=(2hati+hatj-3hatk) +mu(hati-2hatj+2hatk) is

Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) and the plane vecr.(3hati+2hatj-hatk)=4 is