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If a,b and c are non-coplanar vectors an...

If a,b and c are non-coplanar vectors and `lamda` is a real number, then `[lamda(a+b)|lamda^(2)b|lamdac|lamdac]=[a" "a+c" "b]` fforr

A

(a)exactly two values of `lamda`

B

(b)exactly three values `lambda`

C

(c)no value of `lambda`

D

(d)exactly one value of `lambda`

Text Solution

Verified by Experts

The correct Answer is:
C
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  10. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

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  11. If a,b and c are non-coplanar vectors and lamda is a real number, then...

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  12. If vec(a)=hat(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yh...

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  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  14. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  15. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

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  16. If vec u , vec v and vec w are three non-coplanar vectors, then prov...

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  17. a, b, c are three vectors, such that a+b+c=0 ,|a|=1, |b|=2, |c|=3, the...

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  18. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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  19. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

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  20. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

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