Home
Class 12
MATHS
The lines vecr=(2hati-3hatj+7hatk)+lam...

The lines
`vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk)`
and `vecr=(hati+2hatj+3hatk)+mu(3hati+phatj+phatk)` are perpendicular it `p=`

A

`-2`

B

2

C

5

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION I|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION II|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

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

If d is the shortest distance between the lines vecr =(3hati +5hatj + 7hatk)+lambda (hati +2hatj +hatk) and vecr = (-hati -hatj-hatk)+mu(7hati-6hatj+hatk) then 125d^(2) is equal to ____________.

Find the vector and Cartesian equations of a plane containing the two lines vecr=(2hati+hatj-3hatk)+lambda(hati+2hatj+5hatk) and vecr=(3hati+3hatj+2hatk)+mu(3hati-2hatj+5hatk) .

The angle between the lines vecr=(2hati-5hatj+hatk)+lamda(3hati+2hatj+6hatk)andvecr=(7hati-6hatk)+mu(hati+2hatj+2hatk) is

Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and vecr = (2hati+6hatj+3hatk)+mu(2hati+3hatj+4hatk) are coplanar. Also the find the equation of the plane passing through these lines.

Find the shortest distance between the lines vecr = 2hati - hatj + hatk + lambda(3hati - 2hatj + 5hatk), vecr = 3hati + 2hatj - 4hatk + mu(4hati - hatj + 3hatk)