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If l(overline(b)timesoverline(c))+m(over...

If `l(overline(b)timesoverline(c))+m(overline(c)timesoverline(a))+n(overline(a)timesoverline(b))=0` and at least one of the l, m, n is not zero , then the vectors `overline(a), overline(b), overline(c)` are

A

parallel

B

coplanar

C

mutually perpendicular

D

non-coplanar

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The correct Answer is:
B
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[[overline(a), overline(b), overline(a)timesoverline(b)]]=

Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overline(a)))*overline(c) is

overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

If overline(a) and overline(b) are parallel vectors [[overline(a), overline(b), overline(c)]] =

If overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)-overline(b)-overline(c))*overline(p)-(overline(b)-overline(c)-overline(a))*overline(q)-(overline(c)-overline(a)-overline(b))*overline(r)=

If overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)+overline(b)+overline(c))*(overline(p)+overline(q)+overline(r))=

If overline(a),overline(b), overline(c) are three non-coplanar vectors and overline(p), overline(q), overline(r) are vectors defined by the relations overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , then (overline(a)+overline(b))*overline(p)+(overline(b)+overline(c))*overline(q)+(overline(c)+overline(a))*overline(r)=

|[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*overline(b), overline(b)*overline(b)]|=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

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  2. If overline(a), overline(b), overline(c) are non-coplanar vectors, the...

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  3. If l(overline(b)timesoverline(c))+m(overline(c)timesoverline(a))+n(ove...

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  4. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  5. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  6. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  7. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  8. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  9. The volume of the paralleloP1ped with co-terminous edges overline(a)=2...

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  10. The volume of the paralleloP1ped whose co-terminous edges are overline...

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  11. If overline(AC)=3hat(i)+hat(j)-2hat(k), overline(DB)=hat(i)-3hat(j)-4h...

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  12. If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then fi...

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  13. If A,B,C and D are {3,7,4),(5,-2,-3),(-4,5,6) and (1,2,3) respectively...

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  14. If A(4, 2, 1), B(2, 1, 0), C(3, 1, -1), D(1, -1, 2), then the volume o...

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  15. If [[overline(a), overline(b), overline(c)]]=2 then the volume of the ...

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  16. If [[overline(a), overline(b), overline(c)]]=4 then the volume of the ...

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  17. If the three co-terminous edges of a paralleloP1ped are represented by...

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  18. The volume of paralleloP1ped with vector overline(a)+2overline(b)+over...

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  19. The volume of the tetrahedron whose co-terminous edges are hat(j)+hat...

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  20. Find the volume tetrahedron whose coterminus edges are 7hat(i)+hat(k),...

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