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Show that the vectors a = 2 hat (i) +...

Show that the vectors
` a = 2 hat (i) + 3hat (j) + 6 hat (k) , b = 3 hat (i) - 6 hat (j) + 2 hat (k) ` and ` c= 6 hat (i) + 2 hat (j) - 3 hat (k) ` are mutually perpendicular

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If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = hat (i) + 2 hat (j) - 3 hat (k) and vec(c ) = 3 hat (i) + lambda hat (j) + 5 hat (k) are coplanar , find the value of lambda

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If vec (alpha ) = - hat (i) + 2 hat (j) + hat (k) , vec(b) = 3 hat(i) + hat (j) + 2 hat (k) and vec(c ) = 2 hat (i) + hat (j) + 3 hat (k) , find [ vec(c ) vec(a) vec(b)]

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If the vectors -4 hat (i)-6 hat (j) - 2 hat (k) , - hat (i) + 4hat (j) + 3hat (k) and - 8 hat (i) - hat (j) + lambda hat (k) are coplanar , then find the value of lambda

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A (Very Short aanswer type questions)
  1. If vec (a) = 2 hat (i) - 3 hat (j) + 4 hat (k) and vec(b) = - 6 hat (...

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  2. Show that the vectors are mutually perpendicular hat (i) + 2 hat (j)...

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  3. Show that the vectors a = 2 hat (i) + 3hat (j) + 6 hat (k) , b = 3 ...

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  4. In each of the following cases two vectors are perpendicular to each o...

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  5. In each of the following cases two vectors are perpendicular to each o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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