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If the vectors hat(i) - 2x hat(j) + 3 y ...

If the vectors `hat(i) - 2x hat(j) + 3 y hat(k) ` and `hat(i) +2x hat(j) - y hat(k)` are perpendicular, then the locus of (x,y) is

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If the position vectors of P\ a n d\ Q are hat i+3 hat j-7 hat k\ a n...

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  2. If vec a\ a n d\ vec b are unit vectors, then which of the following...

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  3. If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) ...

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  4. The vector component of vec b perpendicular to vec a is a.( vec bd...

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  5. The length of the longer diagonal of the parallelogram constructed o...

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  6. If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero ...

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  7. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

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  8. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  9. If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vect...

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  10. If the vectors 3 hat i+lambda hat j+ hat k\ a n d\ 2 hat i- hat j+8 ha...

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  11. The projection of the vector hat i+ hat j+ hat k along the vector ...

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  12. The vectors 2 hat i+3 hat j-4 hat k\ a n d\ a hat i=b hat j+c hat k ar...

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  13. If | vec a|=| vec b|,\ t h e n\ ( vec a+ vec b)dot( vec a- vec b)= a....

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  14. If vec a\ a n d\ vec b are unit vectors inclined at an angle theta t...

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  15. If vec a\ a n d\ vec b are unit vectorts, then the greatest value fo...

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  16. If the angle between the vectors x hat i+3 hat j-7 hat k\ a n d\ x hat...

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  17. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

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  18. Let vec a ,\ vec b ,\ vec c be three unit vectors such that | vec a...

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  19. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

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  20. If theta is an acute angle and the vector (sintheta) hat i+(costheta)...

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