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The scalar product of the vector vec a=...

The scalar product of the vector ` vec a= hat i+ hat j+ hat k` with a unit vector along the sum of the vectors ` vec b=2 hat i+4 hat j-5 hat k\ a n d\ vec c=lambda hat i+2 hat j+3 hat k` is equal to 1. Find the value of `lambda` and hence find the unit vector along ` vec b+ vec cdot`

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The scalar product of the vector hat i+\ hat j+\ hat k\ with the unit vector along the sum of vectors 2 hat i+\ 4 hat j-5 hat k . and lambda hat i+\ 2 hat j+\ 3 hat k\ is equal to one. Find the value of lambda .

The scalar product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vector 2 hat i+4 hat j-5 hat k and lambda hat i+2 hat j+3 hat k is equal to one. Find the value of lambda .

The magnitude of the vector product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vectors 2 hat i+4 hat j-\ 5 hat k and lambda hat i+2 hat j+3 hat k is equal to sqrt(2) . Find the value of lambda .

Write a unit vector in the direction of the sum of the vectors vec a=2 hat i+2 hat j-5 hat k\ a n d\ vec b=2 hat i+ hat j-7 hat kdot

Find the unit vector in the direction of the sum of the vectors, vec a=2 hat i+2 hat j-5 hat k and vec b=2 hat i+ hat j+3 hat k .

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

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Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2 hat i- hat j+2 hat k\ a n d\ vec b=- hat i+ hat j- hat kdot

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. For any two vectors vec a and vec b prove that ( veca dot vecb)^2le|...

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  2. If vec a ,\ vec b ,\ are two vectors such that | vec a+ vec b|=| ve...

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  3. The scalar product of the vector vec a= hat i+ hat j+ hat k with a un...

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  4. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot ve...

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  5. Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,...

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  6. Show that the points A, B, C with position vectors 2 hat i- hat j+ ...

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  7. If with reference to a right handed system of mutually perpendicula...

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  8. Find the value of x for which the angle between the vectors vec a=2x^...

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  9. If l ,\ m ,\ n are scalars and vec a ,\ vec b ,\ vec c are vectors,...

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  10. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

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  11. Let vec a ,\ vec b ,\ vec c be three vectors of magnitudes 3, 4 and...

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  12. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

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  13. Three vectors vec a ,\ vec b ,\ vec c satisfy the condition vec a+...

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  14. Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b...

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  15. Find vec adot vec b when: vec a= hat j+2 hat k\ a n d\ vec b=2 hat ...

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  16. Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i...

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  17. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  18. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  19. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  20. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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