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If A ,B ,C have position vectors (2,0,0...

If `A ,B ,C` have position vectors `(2,0,0),(0,1,0),(0,0,2),` show that ` A B C ` is isosceles.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  2. Find a unit vector parallel to the vector 3 hat i+4 hat jdot

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  3. If A ,B ,C have position vectors (2,0,0),(0,1,0),(0,0,2), show that ...

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  4. If the points (-1,1,2),(2,m ,5)a n d(3,11 ,6) are collinear, find the ...

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  5. If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec...

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  6. If the position vectors of the points A , B , C ,Da r e2 hat i+4 hat k...

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  7. Represent graphically i. a displacement of 40 km, 30^0 west of south ...

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  8. Classify the following measures as scalars and vectors a.10 kg b.10 m...

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  11. In fig 23.3, which of the vectors are: i.Collinear          ii. Equal ...

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  12. Represent the following graphically: i.A displacement of 40 km, 30^0 ...

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  13. Classify the following measures as scalars and vectors: a.15 kg b. 520...

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  14. Classify the following as scalars and vector quantities: a.Time period...

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  15. In Fig. A B C D is a regular hexagon, which vectors are: (i) Colline...

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  16. Answer the following as true or flase: (a) vec a and vec a are col...

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  17. If vec a ,\ vec b ,\ vec c be the vectors represented by the sides ...

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  18. If P ,Q and R are three collinear points such that vec P Q= vec a ...

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  19. Give a condition that three vectors vec a , vec b and vec c from ...

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  20. If vec a and vec b are two non-collinear vectors having the same ...

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