Home
Class 11
MATHS
Let veca,vecb and vec(c) be non-coplanar...

Let `veca,vecb and vec(c)` be non-coplanar vectors, if `[veca+2vecb" "2vecb+vec(c)" "5vec(c)+veca]=lamda[vec(a)" "vec(b)" "vec(c)]`, then find `lamda`.

Text Solution

Verified by Experts

The correct Answer is:
12
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 5(c) II|17 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 5(c) III|11 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 5(b) III|8 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) III. |3 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) III.|11 Videos

Similar Questions

Explore conceptually related problems

If vec(C) = vec(A) + vec(B) then

Let a,b and vec(c) be non-coplanar vectors and vecalpha=a+2b+3c,vecbeta=2veca+vecb-2vec(c) and vec(gamma)=3veca-7vec(c) , then find [vec(alpha)" "vec(beta)" "vec(gamma)] :

If veca,vecb,vec(c) are non-coplanar, then show that the vectors veca-vecb,vecb+vec(c),vec(c)+vec(a) are planar.

If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx vec(d) , then

For any three vectors veca,vecb,vec(c) prove that [vecbxxvec(c)" "vec(c)xxveca" "vecaxxvecb]=[vec(a)" "vecb" "vec(c)]^(2)

Let vec(a), vec(b), vec(c ) be three vectors satisfying vec(a) xx vec(b) = 2vec(a) xx vec(c ), |vec(a)| = |vec(c )| =1, |vec(b)|=4 and |vec(b) xx vec(c )|= sqrt15 . If vec(b)- 2vec(c )= lamda vec(a) , find the value of lamda .