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If vec xa n d vec y are two non-colline...

If ` vec xa n d vec y` are two non-collinear vectors and `A B C` isa triangle with side lengths `a ,b ,a n dc` satisfying `(20 a-15 b) vec x+(15b-12 c) vec y+(12 c-20 a)( vecx xx vec y)=0,` then triangle `A B C` is a. an acute-angled triangle b. an obtuse-angled triangle c. a right-angled triangle d. an isosceles triangle

A

an acute angle triangle

B

an obtuse angle triangle

C

a right angle triangle

D

an isosceles triangle

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Exercise
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  2. A, B have vectors vec a , vec b relative to the origin O and X, Y d...

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  3. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

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  4. The vector vec c , directed along the internal bisector of the angle...

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  5. Let vec a , vec b ,vec c are three non- coplanar vectors such that ...

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  6. If vec a, vec b , vec c are three non- coplanar vectors such that v...

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  7. veca, vecb ,vecc are three non zero vectors no two of which are collon...

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  8. Let alpha,beta and gamma be distinct real numbers. The points with pos...

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  9. The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...

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  10. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

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  11. If C is the middle point of AB and P is any point outside AB, then

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  12. The median AD of the DeltaABC is bisected at E.BE meets AC in F. then,...

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  13. In a trapezium, the vector BC=lamdaAD. We will then find that p=AC+BD ...

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  14. If vec xa n d vec y are two non-collinear vectors and A B C isa trian...

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  15. If D, E, F are respectively the mid-points of AB, AC and BC respectiv...

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  16. Forces 3 O vec A , 5 O vec B act along OA and OB. If their resultant ...

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  17. If aBCDEF is a regular hexagon with A vec(B) = vec(a) and B vec(C ) =...

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  18. If A,B and C are the vertices of a triangle with position vectors vec(...

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  19. Let vec a=hati -2 hatj + 3 hatk, vec b = 3 hati + 3 hatj -hat k and v...

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  20. If G is the intersection of diagonals of a parallelogram A B C D and O...

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