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If either vec a= vec0\ or\ vec b= vec0...

If either ` vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= vec0` but, the converse need not be true. Justify your answer with an example.

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. 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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  2. 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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  3. If either vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= ve...

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

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

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

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

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

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

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

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

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

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

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  16. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  17. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  18. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  19. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot ve...

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  20. Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot ve...

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