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Show that the vector hat i+ hat j+ hat ...

Show that the vector ` hat i+ hat j+ hat k` is equally inclined with the coordinate axes.

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Show that the vector hat(i) + hat(j) + hat(k) is equally with the coordinate axes.

Show that the vector hat i+ hat j+ hat k is equally inclined to the axes OX, OY and OZ.

Find the angles at which the vector 2 hat i- hat j+2 hat k is inclined to each of the coordinate axes.

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

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

The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k and making equal angles with the X and Y axes islare) :

Show that the vectors 2 hat i-3 hat j+4 hat k and -4 hat i+6 hat j-8 hat k are collinear.

Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k are collinear.

Write the the projections of vec r=3 hat i-4 hat j+12 hat k on the coordinate axes.

Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a ,\ vec b ,\ vec c are three mutually perpendicular unit ve...

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  2. If | vec a+ vec b|=60 ,\ | vec a- vec b|=40\ | vec b|=46 , \ Then fin...

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  3. Show that the vector hat i+ hat j+ hat k is equally inclined with the...

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  4. Show that the vector vec a=1/7(2 hat i+3 hat j+6 hat k),\ vec b=1/7(...

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  5. For any tow vectors a\ a n d\ b show that ( vec a+ vec b) ( vec a- vec...

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  6. If vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+ hat j-2 hat k\ a n d...

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  7. If vec p=5 hat i+lambda hat j-3 hat k\ a n d\ vec q= hat i+3 hat j-5...

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  8. If vecalpha=3 hat i+4 hat j+5 hat k\ a n d\ vecbeta=2 hat i+ hat j-4...

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  9. If either vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= ve...

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  10. Show that the vectors vec a=3 hat i-2 hat j+ hat k ,\ vec b= hat i-3...

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  11. If vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a ...

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

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  13. Find the magnitude of two vectors vec a\ a n d\ vec b having the sam...

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  14. Show that the points whose position vectors are vec a=4 hat i-3 hat j...

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  15. If A ,\ B ,\ C have position vectors (0, 1, 1), (3, 1, 5), (0, 3, 3...

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  16. Find the projection of vec b+ vec c\ on\ vec a\ ,\ w h e r e\ vec a...

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  17. If vec a=5 hat i- hat j-3 hat k\ a n d\ vec b= hat i+3 hat j-5 hat k...

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  18. A unit vector vec a makes angles pi/4\ a n d\ pi/3 with hat i\ a n d...

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  19. If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec ...

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  20. If vec a\ is a unit vector, then find | vec x| in each of the follow...

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