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Find the values of `x` and `y` if the vectors ` vec a=3 hat i+x hat j- hat k` and ` vec b=2 hat i+ hat j+y hat k` are mutually perpendicular vectors of equal magnitude.

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Find the value of x\ a n d\ y if the vectors vec a=3 hat i+x hat j- hat k\ a n d vec b=2 hat i+ hat j+y hat k are mutually perpendicular vectors of equal magnitude.

Find the values of x, y and z so that the vectors vec a=x hat i+2 hat j+z hat k and vec b=2 hat i+y hat j+ hat k are equal.

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find the value of x ,\ y\ a n d\ z so that the vectors vec a=x hat i+2 hat j+z hat k\ a n d\ vec b=2 hat i+y hat j+ hat k are equal.

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

For what value of lambda are the vector vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

For what value of lambda are the vectores vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ vec b= hat i+p hat j+3 hat k are parallel vectors.

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 .

For what value lambda are the vectors vec a=2 hat i+\ lambda hat j+ hat k\ a n d\ vec b= hat i-\ 2 hat j+3 hat k perpendicular to each other?

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4...

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. 12). Show that the vector hat i+ hat j+ hat k is equally inclined w...

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  15. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-4 ha...

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  16. If vec p=5 hat i+lambda hat j-3 hat k and vec q= hat i+3 hat j-5 hat...

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  17. For any two vectors vec a and vec b , show that : ( vec a+ vec b)dot...

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

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  19. Let vec a=5 hat i- hat j+7 hat k and vec b= hat i- hat j+lambda hat ...

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  20. If vec a and vec b are two vectors of the same magnitude inclined ...

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