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Find the scalar product of the following...

Find the scalar product of the following pair of vectors and the angle between them :
` vec (a) = 2 hat (i) - 5 hat (j) + 3 hat (k) and vec (b) = hat (i) - 2 hat (j) - 4hat (k) `

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Find the scalar product of the following pair of vectors and the angle between them : vec(a) = 2 hat (i) + 3 hat (j) - 4 hat (k) and vec(b) = hat (i) + 2 hat (j) + hat (k)

Find the scalar product of the following pair of vectors and the angle between them : hat (i) + hat(j) and hat (j) + hat (k)

Find the cosine of the angle between the vectors vec ( a ) = 3 hat (i) + 2 hat (k) and vec(b) = 2 hat (i) - 2 hat (j) + 4 hat (k)

The scalar projection of vec(a) = 2 hat (i) - 3hat(j) + hat (k) on vec (b) = 3 hat(i) - 6 hat (j) - 2 hat (k)

Find the area of triangle (i) drawn on the vectors vec(a) = 6 hat (i) + 2 hat (j) - 3 hat (k) and vec (b) = 4 hat (i) - hat (j) - 2 hat (k)

Find a unit vector perpendicular to both the vector vec(a) = 2 hat(i) + hat(j) - 2 hat(k) and vec(b) = 3 hat (i) - hat (j) + hat (k)

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

Find the projection of vector (vec(b)+vec (a )) on vector vec(a) where vec(a) = 2 hat (i) - hat (j) + 2 hat (k) and vec(b) = hat(j) + 2 hat (k)

Find the scalar and vector projection of vec(b) on a vec (a) where vec(a) = hat (i) + 2 hat (j) + 2 hat (k) and vec (b) = hat (j) + 2 hat (k)

Find a unit vector perpendicular to each of the vectors vec(a) + vec(b) and vec (a) - vec(b) where vec(a) = 3 hat (i) + 2 hat (j) + 2 hat (k) and vec(b) = hat (i) + 2 hat (j) - 2 hat (k) .

CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A (Very Short aanswer type questions)
  1. Find the scalar product of the following pair of vectors and the angle...

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  2. Find the scalar product of the following pair of vectors and the angle...

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  3. Find the scalar product of the following pair of vectors and the angle...

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  4. Show that the vectors |vec(a)xxvec(b)|^(2)=|(vec(a).vec(a)" "vec(a)....

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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