Home
Class 12
MATHS
Find lambdaandmu if (2hati+6hatj+27hatk)...

Find `lambdaandmu` if `(2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)=vec0`.

Text Solution

Verified by Experts

The correct Answer is:
`3,(27)/(2)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise Miscellaneous Exercise on chapter 10|18 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.3|18 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

Find lambda and mu if (2hati+6hatj+27hatk)xx(hati+lambda hatj+mu hatk)=vec(0) .

If veca=2hati+6hatj +3hatk, vecb=hati+lamdahatj+muhatk if veca xxvecb=vec0. Find value of lamda and mu.

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

Find lambda if the vectors hati-hatj+hatk, 3hati-hatj+2hatk and hati+lambda hatj-3hatk are coplannar.

Find the magnitude of the vector vec(a)=(3hati+4hatj)xx(hati+hatj-hatk) .

Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find |vecaxxvecb| , if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk

Find the angle between the following pairs of lines : (i) vecr=2hati-5hatj+hatk+lambda(3hati+2hatj+6hatk) and veck=7hati-6hatk+mu(hati+2hatj+2hatk) (ii) vecr=3hati+hatj-2hatk+lambda(hati-hatj-2hatk) and vecr=2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

Find a unit vector perpendicular to both the vectors (4hati+6hatj+2hatk) and (2hati-2hatj+4hatk) .

Find the distance between the lines l_1 and l_2 given by vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk) .