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If ` vec (a) = 3 hat (i) + 2 hat (j) + 9 hat (k) and vec(b) = hat (i) + lambda hat (j) + 3 hat (k) ` , then find the value of `lambda` so that the vectors `(vec(a) + vec(b)) and (vec(a) - vec(b)) ` are perpendicular to each other .

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A (Very Short aanswer type questions)
  1. In each of the following cases two vectors are perpendicular to each o...

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  2. In the following cases two vectors are perpendicular to each other, fi...

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  3. If vec (a) = 3 hat (i) + 2 hat (j) + 9 hat (k) and vec(b) = hat (i) ...

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  4. If vec (a) = 2 hat (i) - 3 hat (j) + 4 hat (k) and vec(b) = - 6 hat (...

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  5. Find the scalar and vector components of vec(a) in the direction of ve...

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  6. Find the scalar and vector components of vec(a) in the direction of ve...

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  7. Find the scalar and vector projection of vec(b) on a vec (a) where v...

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  8. Find the projection of vector (vec(b)+vec (a )) on vector vec(a) wher...

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  9. Find the projection of vector (vec(b)+vec(c )) on vector vec(a) where ...

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  10. If vec | a| = sqrt(3) , |vec(b)| = 2 and vec(a) . vec(b) = sqrt(6) ,...

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  11. Find the angle made by the vector sqrt(2) hat (i) + hat (j) + hat (k)...

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  12. Find |vec(a)-vec(b)| , if two vectors vec(a) and vec(b) are such that ...

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  13. Define the vector product of two vectors vec (a) and vec (b) . Give ...

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  14. If |vec(a)|= 3 , |vec(b)| = 4 and | vec (a) xx vec(b)|= 6 , then fin...

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  15. If vec(a) , vec(b)and vec(a) xx vec(b) are three unit vectors , find t...

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

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  17. If two vectors vec(a) and vec (b) are such that |vec(a) . vec(b) | = ...

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  18. If vectors vec (a) = p hat (i) + 8 hat (j) + 6 hat (k) and vec (b) = -...

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  19. If (2hat (i) + 6 hat (j) + 27 hat (k) )xx (hat (i) + 3hat (j) + p hat ...

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  20. If (2 hat (i) + 6 hat (j) + 14 hat (k)) xx ( hat (i) - lambda hat (j)...

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