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A, B, C and D are four points in a plane...

A, B, C and D are four points in a plane with position vectors `vec a,vec b,vec c and vec d`, respectively, such that`(vec a-vec d). (vec b-vec c) = (vec b-vec d).(vec c-vec a) = 0` Then point D is the of triangle ABC

A

incentre

B

circumcentre

C

orthocentre

D

centroid

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A DAS GUPTA-Product of two Vectors-Exercise
  1. If |vec a|=3,|vec b|=5,|vec c|=7 and vec a+vec b+vec c=0 then angle be...

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  2. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

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  3. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

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  4. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  5. A vector a has components a1,a2,a3 in a right handed rectangular cart...

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  6. If vec a * vec b = vec a * vec c then

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  7. If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

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  8. If vec a xx vec b= vec b xx vec c != vec 0 then which one is true wh...

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  9. A, B, C and D are four points in a plane with position vectors vec a,v...

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  10. If |vec a|= |vec b|= 1 and |vec a xx vec b|=1 then

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  11. The vector vecb = 3j + 4k is to be written as the sum of a vector vecb...

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  12. Let veca=2hati-hatj+hatk , vecb= hati+2hatj-hatk and vec c= hati+hatj-...

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  13. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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  14. If vec(a). vec(b) = 0 and vec(a) xx vec(b) = vec(0) then which one of ...

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  15. If vec a=4 hat i+6 hat ja n d vec b=3 hat j+4 hat k , then find the c...

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  16. In each of the following, fill in the blank so that the resulting stat...

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  17. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

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  18. Find a unit vector vec cif- vec i+ vec j- vec kb i s e c t st h ea ng...

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  19. If theta is the angle between the unit vectors hat a and hat b then co...

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  20. In each of the following, one or more options are correct. Choose the...

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