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The two variable vectors 3xhati+yhatj-3h...

The two variable vectors `3xhati+yhatj-3hatk` and `xhati-4yhatj+4hatk` are orthogonal to each other, then the locus of (x, y) is

A

hyperbola

B

circle

C

straight line

D

ellipse

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The correct Answer is:
A
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. A vector of magnitude 14 lies in the xy-plane and makes an angle of 60...

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  2. If veca,vecb,vec c are unit vectors such that veca+vecb+vec c= vec0 fi...

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  3. The two variable vectors 3xhati+yhatj-3hatk and xhati-4yhatj+4hatk are...

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  4. Angle between the vectors sqrt3(veca xx vec b) " and " vec b - (veca ....

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  5. If the vector veca = (2 ,log3 x ,a ) and vecb = (-3,a log3x,log3x) are...

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  6. If veca , vecb ,vec c are the 3 vectors such that |veca| = 3, |vecb| ...

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  7. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

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  8. Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...

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  9. If veca,vecb and vecc are three vectors of which every pair is non col...

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  10. The two vectors (x^2 - 1)hati +(x+2)hatj + x^2 hatk and 2hati -xhatj +...

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  11. The value of 'a' for which the points A, B,C with position vectors ...

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  12. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

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  13. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  14. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  15. Vectors veca and vec b are inclined at an angle theta = 120^@ . If |ve...

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  16. For any vector vecp , the value of 3/2 { |vecp xx hati|^2 + |vecp ...

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  17. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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  18. What is the interior acute angle of the parallelogram whose sides are ...

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  19. Area of rectangle having vertices A, B , C and D with position vector ...

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  20. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

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