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If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6ha...

If `7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat(k)` are vertices of a triangle, then it is

A

only isosceles

B

only right angled

C

equilateral

D

isosceles right angled

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(b)=overline(a)-4overline(c) and angle between overline(a) ...

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  2. If the position vectors of the vertices of a triangle be 2hat(i)+4hat(...

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  3. If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat...

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  4. Let alpha,beta,gamma be distinct real numbers. The points with positio...

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  5. The perimeter of the triangle with sides 3hat(i)+4hat(j)+5hat(k), 4hat...

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  6. The perimeter of the triangle whose vertices have the position vectors...

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  7. Let overline(lambda)=overline(a)times(overline(b)+overline(c)), overli...

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  8. |[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*over...

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  9. The value of |[overline(a)*overline(a), overline(a)*overline(b), overl...

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  10. If overline(a), overline(b), overline(c) be three vecotrs such that ov...

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  11. If |overline(a)|=50 and overline(b)=6hat(i)-8hat(j)-(15)/(2)hat(k) are...

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  12. If overline(a) and overline(b) are the position vectors of the points ...

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  13. If the vectors 3hat(i)-5hat(j)+hat(k)and9hat(i)-15hat(j)+phat(k) are c...

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  14. If the vectors 2hat(i)-qhat(j)+3hat(k)and4hat(i)-5hat(j)+6hat(k) are c...

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  15. The value of k for which the vectors overline(a)=hat(i)-hat(j) and ove...

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  16. Let overline(a) and overline(b) be non-collinear. If overline(c)=(x-2)...

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  17. If the points A(3, 2, -4), B(9, 8, -10) and C(-2, -3. p) are collinear...

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  18. If the points A(4, 5, 2), B(3, 2, p) and C(5, 8, 0) are collinear , th...

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  19. If the points A(2,1,1,),B(0,-1,4)andC(k,3,-2) are collinear, then k= ....

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  20. If the points A(5, -6, -2), B(p, 2, 4) and C(3, -2, 1) are collinear, ...

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