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Let ABC be a triangle, the position vect...

Let ABC be a triangle, the position vectors of whose vertices are `7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) " and " -4hat(i)+9hat(j)+6hat(k)`. Then `DeltaABC` is -

A

isosceles

B

equilateral

C

right angled

D

none of these

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The correct Answer is:
A, C
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CHHAYA PUBLICATION-VECTOR-SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION
  1. If (x, y, z) ne (0, 0, 0) " and " (hat(i)+hat(j)+3hat(k))y+(-4hat(i)+5...

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  2. The sides of a parallelogram are 2hat(i)+4hat(j)-5hat(k) " and " hat(i...

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  3. If the resultant of three forces vec(F(1))=phat(i)+3hat(j)-hat(k), vec...

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  4. Let ABC be a triangle, the position vectors of whose vertices are 7hat...

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  5. For any two vectors vec(a) " and " vec(b) which of the following is tr...

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  6. If vec(a), vec(b) " and " vec(c) are unit vectors satisfying abs(vec(a...

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  7. ABCD is a parallelogram and A(1) " and " B(1) are the midpoints of sid...

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  8. ABCD is a quadrilateral. E is the point of intersection of the lines j...

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  9. If vectors vec(AB)=-3hat(i)+4hat(k) " and " vec(AC)=5hat(i)-2hat(j)+4h...

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  10. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

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  11. ABCD is a parallelogram. L is a point on BC which divides BC in the ra...

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  12. ABCD is a parallelogram. L is a point on BC which divides BC in the ra...

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  13. ABCD is a parallelogram. L is a point on BC which divides BC in the ra...

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  14. Consider the regular hexagon ABCDEF with centre at O (origin). vec(A...

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  15. Consider the regular hexagon ABCDEF with centre at O (origin). Five ...

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  16. Consider the regular hexagon ABCDEF with centre at O (origin). vec(A...

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  17. Statement - I: vec(a)=3hat(i)+phat(j)+3hat(k) " and " vec(b)=2hat(i)+3...

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  18. Statement - I: If abs(vec(a))=3, abs(vec(b))=4 " and " abs(vec(a)+vec(...

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