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If 2i-j+k and i-3j-5k and 3i-4j-4k form ...

If `2i-j+k` and `i-3j-5k` and `3i-4j-4k` form a triangle, what type of triangle is it ?

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As `(2i-j+k).(i-3j-5k) = 0`. The triangle is a right angled triangle.
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MODERN PUBLICATION-VECTOR-EXERCISE
  1. What is the value of [i+j] along [3i+4j].

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  2. If vec a = 2i+3j-6k and vec b = prop hati-hatj+2khat are parallel then...

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  3. If 2i-j+k and i-3j-5k and 3i-4j-4k form a triangle, what type of trian...

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  4. If (-3,tau,1) | (1,0,3) then tau = .

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  5. If on action of force f=2i+j-k, a prticle displaced from A (0,1,2) to ...

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  6. If (vec a + vec b).(vec a - vec b) = 0 then what is the relation betwe...

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  7. A vector perpendicular to the vectors hati+hatj and hati+hatk is

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  8. If vec a, vec b, vec c are unit vectors and vec a + vec b + vec c = 0 ...

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  9. Are three points with position vectors vec a + vec b, vec a - vec b an...

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  10. Find the unit vector perpendicular to i + j and i + k.

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  11. If vec a × vec b = vec b × vec c != 0, Prove that vec a + vec c = m ve...

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  12. Let vec a is any vector than what is the value of (vec a.hat i)hat i+(...

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  13. What is the value of (hat i+hat j)×(hat j+hat k).(hat k+hat i)?

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  14. If vec Avec C and vec Bvec D are the diagonals of the parallelogram AB...

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  15. Find the area of the parallelogram whose adjacent sides are gives by t...

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  16. If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...

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  17. Determine the area of parallelogram whose adjacent sides are the vecto...

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  18. Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).

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  19. Prove that (vec a × vec b).(vec c × vec d) = [[vec a.vec c,vec a.vec d...

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  20. Find a unit vector in direction of vec a-vec b, when vec a = 4 hat i +...

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