Home
Class 12
MATHS
Find lambda and mu if (2hati+6hatj+27h...

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the shortest distance between the lines vecr =(8+3lambda) hati - (9 +16lambda) hatj+(10+7lambda)hatk and vecr= (15hati + 29hatj + 5hatk) + mu(3hati + 8hatj - 5hatk ).

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) .

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 the angle between the lines vecr = (3 + lambda)hati + 2(1 + lambda)hatj + 2(1 – 2lambda)hatk and vecr=5hatj-2hatk+mu(3hati+2hatj-6hatk).

Find [vec(a)vec(b)vec( c )] if vec(a)=hati-2hatj+3hatk,vec(b)=2hati-3hatj+hatk and vec( c )=3hati+hatj-2hatk .

Find the area of the triangle formed by the tips of the vectors vec(a) = hati - hatj - 3hatk, vec(b) = 4hati - 3hatj +hatk and vec(c) = 3 hati - hatj +2 hatk .

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