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Let vec a , vec ba n d vec c , be non-z...

Let ` vec a , vec ba n d vec c ,` be non-zero non-coplanar vectors. Prove that: ` vec a-2 vec b+3 vec c ,-2 vec a+3 vec b-4 vec ca n d vec c-3 vec b+5 vec c` are coplanar vectors. `2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c` are non-coplanar vectors.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  2. If a ,\ b ,\ c are non zero non coplanar vectors, prove that the follo...

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  3. Let vec a , vec ba n d vec c , be non-zero non-coplanar vectors. Prov...

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  4. Show that the four points having position vectors 6 hat i-7 hat j ,...

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  5. Prove that the following vectors are coplanar: 2 hat i- hat j+ hat k ,...

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  6. Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\...

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  7. Prove that the following vectors are non coplanar: 3 hat i+ hat j- hat...

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  8. Prove that the following vectors are non-coplanar: hat i+2 hat j+3 ha...

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  9. If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the...

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  10. If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the...

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  11. Prove that a necessary and sufficient condition for three vectors ...

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  12. Show that the four points A ,B , Ca n dD with position vectors ...

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  13. The direction cosines of a vector vecr, which is equally inclined to O...

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  14. Can a vector have direction angles 45^0,60^0,120^0

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  15. Prove that 1,1,1 cannot be direction cosines of a straight line.

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  16. A vector makes an angle of pi/4 with each of x-a xi s and y-a xi sd...

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  17. A vector vec r is inclined at equal acute angles of x-axis , y-axi ...

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  18. A vector vec r\ is inclined to x-axis at 45^0 and y-axis at 60^0dot ...

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  19. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  20. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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