Home
Class 12
MATHS
The distance of the point 2hati+hatj+hat...

The distance of the point `2hati+hatj+hatk` from the line `barr=-hati+2hatj+2hatk+lambda(3hati+hatk)` is

A

1

B

`sqrt((27)/(5))`

C

`sqrt((23)/(5))`

D

`sqrt((5)/(23))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINE

    TARGET PUBLICATION|Exercise Critical Thinking|33 Videos

  • LINE

    TARGET PUBLICATION|Exercise Competitive Thinking|45 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point 2hati + hatj + hatk) from the plane barr *(hati + 2hatj +4hatk) = 13 .

Find the distance of the point hati + 2hatj - hatk from the plane barr*(hati - 2hatj + 4hatk) = 10 .

Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

The cartesian equation of the line barr = (hati + hatj + hatk)+ lambda(hatj + hatk) is

The line through hati+3hatj+2hatk and perpendicular to the lines vecr=(hati+2hatj-hatk)+lamda(2hati+hatj+hatk) and vecr=(2hati+6hatj+hatk)+mu(hati+2hatj+3hatk) is

Find the points of intersection of the line vecr = 2hati - hatj + 2hatk + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

The vector equation of a line passing through the point hati + 2hatj + 3hatk and perpendicular to the vectors hati +hatj + hatk and 2hati - hatj + hatk is