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If vec c = 3vec a+4vec b and 2vec c =vec...

If `vec c = 3vec a+4vec b and 2vec c =vec a -3vec b`, show that (i) `vec c and vec a` have the same direction and `|vec c| gt |vec a|`(ii) `vec b and vec c` have opposite direction and `|vec c| gt |vec b|`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If vec a and vec b are position vectors of points Aa n dB respectivel...

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  2. If vec aa n d vec b are position vectors of Aa n dB respectively, fin...

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  3. If vec c = 3vec a+4vec b and 2vec c =vec a -3vec b, show that (i) vec ...

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  4. Find the position vectors of the points which divide the join of th...

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  5. Let O be the centre of a regular hexagon A B C D E F . Find the sum of...

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  6. For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=|...

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  7. IF P1, P2, P3, P4 are points in a plane or space and O is the origin o...

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  8. Using vectors, find the value of lambda such that the points (lambda,...

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  9. If vec a , vec b are any two vectors, then give the geometrical int...

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  10. If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R ...

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  11. If the sum of two unit vectors is a unit vector, prove that the mag...

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  12. If vec aa n d vec b are the vectors determined by two adjacent sides ...

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  13. Vectors drawn the origin O to the points A , Ba n d C are respectively...

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  14. If vec aa n d vec b represent two adjacent sides vec A Ba n d vec B ...

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  15. A , B , P, Q and R are five points in a plane. Show that the su...

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  16. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  17. Find a vector of magnitude 11 in the direction opposite to that of ve...

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  18. Find the unit vector in the direction of 3 hat i-6 hat j+2 hat k .

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  19. If vec a is a position vector whose tip is (1,-3)dot Find the coordin...

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  20. Find the coordinates of the tip of the position vector which is equ...

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