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Find the angles at which the followin...

Find the angles at which the following vectors are inclined to each of the coordinate axes: ` hat i- hat j+ hat k` ` hat j- hat k` `4 hat i+8 hat j+ hat k`

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Find the angles at which the following vectors are inclined to each of the coordinate axes: 4 hat i+8 hat j+ hat k

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that 1,1,1 cannot be direction cosines of a straight line.

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

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  3. Find the angles at which the following vectors are inclined to each...

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

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  5. Prove that the sum of three vectors determined by the medians of a ...

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  6. If P is a point and A B C D is a quadrilateral and vec A P+ vec...

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  7. If vec a is a vector and m is a scalar such that m vec a= vec0 ...

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  8. If vec a , vec b are two vectors, then write the truth value of th...

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  9. A B C D is a quadrilateral. Find the sum the vectors vec B A , ve...

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  10. A B C D E is pentagon, prove that vec A B + vec B C + vec C D ...

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

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

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

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  14. Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdo...

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  15. The vertices A , B , C of triangle A B C have respectively position ...

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  16. Find a unit vector parallel to the vector hat i+sqrt(3) hat j

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  17. Show that the four points A ,B ,C ,D with position vectors vec a , ve...

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  18. If vec a , vec b are the position vectors of A , B respectively, find...

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

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  20. 6). If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are ...

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