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Vectors veca = hati+2hatj+3hatk, vec b =...

Vectors `veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3hati+hatj+4hatk` are so placed that the end point of one vector is the starting point of the next vector. Then the vectors are

A

not coplanar

B

coplanar but cannot form a triangle

C

coplanar and form a triangle

D

coplanar and can form a right-angled triangle

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The correct Answer is:
B
Note that `veca + vecb = vecc`
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CENGAGE-INTRODUCTION TO VECTORS -Exercise (Single)
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  3. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

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  4. If P(not E) = 0.25, what is the probability of E?

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  5. Given three non-zero, non-coplanar vectors veca, vecb and vecc. vecr1=...

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  6. If the vectors vec a and vec bare linearly independent and satisfying ...

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  7. In a trapezium, vector vec B C=alpha vec A Ddot We will then find tha...

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  8. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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  9. Vectors vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k are l...

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  10. If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2ha...

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  11. If 4hati+ 7hatj+ 8hatk, 2hati+ 3hatj+ 4hatk and 2hati+ 5hatj+7hatk are...

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  12. If vec b is a vector whose initial point divides thejoin of 5 hat ...

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  13. Find the value of lambda so that the points P ,Q ,Ra n dS on the sides...

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  14. ' I ' is the incentre of triangle A B C whose corresponding sides are ...

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  15. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

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  16. Locus of the point P, for which vec(OP) represents a vector with direc...

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  17. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

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  18. A uni-modular tangent vector on the curve x=t^2+2,y=4t-5,z=2t^2-6t=...

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  19. If vecx and vecy are two non-collinear vectors and a, b and c represe...

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  20. vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammad...

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