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Show that the points A, B and C with position vectors `vec a = 3 hat i - 4 hat j - 4 hat k`, `vec b = 2 hat i - hat j + hat k` and `vec c = hat i - 3 hat j - 5 hat k`, respectively form the vertices of a right angled triangle.

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`therefore` A, B, C from the vertices of a right angled triangle.
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Find the sum of the vectors vec a = hat i -2 hat j + hat k , vec b = 2 hat i +4 hat j +5 hat k and vec c = 2 hat i -6 hat j -7 hat k

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Find the sum of the vectors veca = hat i - 2 hat j + hat k, vec b = - 2 hat i + 4 hat j + 5 hat k and vec c = hat i - 6 hat j - 7 hat k .

Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k , vec b = -2 hat i +3hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Find the sum of the vectors vec a = hat i-2 hat j+ hat k and vec b=-2 hat i+4 hat j +5 hat k and vec c = hat i -6 hat j -7 hat k

Show that the vectors vec a = hat i-2 hat j+3 hat k and vec b=-2 hat i+3 hat j -4 hat k and vec c = hat i -3 hat j +5 hat k are coplanar

Find [vec a, vec b, vec c] if vec a = hat i - 2 hat j + 3 hat k , vec b = 2 hat i - 3 hat j + hat k and vec c = 3 hat i + hat j - 2 hat k .

Find the angle between the vectors vec a = 3 hat i + 4 hat j + hat k vec b = 2 hat i + 3 hat j - hat k .

Show that the points A, B,C and D with positions vectors 4 hat i +5 hat j + hat k, -( hat j + hat k), 3 hat i + 9 hat j + 4 hat k and -4 hat i + 4 hat j + 4 hat k respectively are coplanar.

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.2
  1. Compute the magnitude of the following vectors. veca = hat i + hat j...

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  2. Write two different vectors having the same magnitude.

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  3. Write two different vectors having the same direction.

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  4. Find the values of x and y so that the vectors 4 hat i + 5 hat j and ...

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  5. Find the scalar and vector components of the vector with initial point...

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  6. Find the sum of the vectors veca = hat i - 2 hat j + hat k, vec b = - ...

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  7. Find the unit vector in the direction of the vector vec a = hat i - ha...

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  8. Find the unit vector in the direction of vector vec(PQ), where P and Q...

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  9. For given vectors vec a = 2 hat i - hat j + 2 hat k and vec b = - hat ...

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  10. Find a vector in the direction of vector 5 hat i - hat j + 2 hat k whi...

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  11. Show that the vectors 2 hat i-3 hat j+4 hat kand -4 hat i+6 hat j-8 h...

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  12. Find the direction cosines of the vector hat i + 2 hat j + 2 hat k.

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  13. Find the direction cosines of the vector joining the points A(-1, 2, 3...

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  14. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

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  15. Find the position vector of a point R which divides the line joining t...

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  16. Find the position vector of the midpoint of the vector joining the poi...

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  17. Show that the points A, B and C with position vectors vec a = 3 hat i ...

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  18. In triangle ABC, which of the following is not true?

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  19. If vec a and vec b are collinear vectors, then which of the following ...

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