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Find the angles which the vector vec a=...

Find the angles which the vector ` vec a= hat i- hat j+sqrt(2) hat k` makes with the coordinate axes.

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If | vec a|=a and | vec b|=b , prove that ( vec a/(a^2)- vec b/(b^2))^...

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  2. If vec a= hat i- hat j and vec b=- hat j+2 hat k , find ( vec a-2 ve...

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  3. Find the angles which the vector vec a= hat i- hat j+sqrt(2) hat k ma...

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  4. Dot product of a vector with hat i+ hat j-3 hat k , hat i+3 hat j-2 h...

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  5. Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and ve...

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  6. For what value of lambda are the vector vec a and vec b perpendi...

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  7. If vec a and vec b are two vectors such that | vec a|=4,| vec b|=3 a...

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  8. Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4...

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  9. Find the projection of vec b+ vec c on vec a , where vec a = 2 hat ...

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  10. Find the values of x and y if the vectors vec a=3 hat i+x hat j...

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  11. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

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  12. If vec a and vec b are two non-collinear unit vectors such that | ...

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  13. If vec a , vec b are two vectors such that | vec a+ vec b|=| vec b...

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  14. If vec c is perpendicular to both vec a and vec b , then prov...

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  15. If vec a. vec a=0 and vec a. vec b=0, what can you conclude about th...

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  16. If vec a , vec b , vec c are three non coplanar vectors such that ...

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  17. If a vector vec a is perpendicular to two non-collinear vector vec b...

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  18. If vec a+ vec b+ vec c= vec0 , show that the angle theta between the ...

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  19. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w...

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  20. Let vec a=x^2 hat i+2 hat j-2 hat k , vec b= hat i- hat j+ hat k and ...

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