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A vector vec r has length 21 and its d...

A vector ` vec r` has length 21 and its direction ratios are proportional to `2,-3,6.` Find the direction cosines and components of ` vec r` , is given that ` vec r` Makes an acute angle with `x-` axis.

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  3. A vector vec r has length 21 and its direction ratios are proport...

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  9. If a vector makes angles alpha,beta,gamma. with . OX ,O Ya n dO Z ...

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  12. Find the position vector of the mid-point of the vector joining the...

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  13. Show that the line joining one vertex of a parallelogram to the mid...

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  14. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

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  15. If vec a , vec b are the position vectors of the points (1,-1),(-2,m...

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  16. Find the position vector of a point A in space such that vec O A is i...

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  17. Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6)a n d D(2,-5,1...

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  19. Find a vector vec r of magnitude 3sqrt(2)u n i t s which makes an an...

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  20. Let vec a= hat i+2 hat ja n d vec b=2 hat i+ hat jdoti s |vec a|=| ve...

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