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If vec(a) = 4 hat(i) + 3 hat(j) + 2 hat(...

If `vec(a) = 4 hat(i) + 3 hat(j) + 2 hat(k)` and `vec(b) = 3 hat(i) + 2 hat(k)` Find `|vec(b) xx 2 vec(a)|`.

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To solve the problem, we need to find the magnitude of the vector \( \vec{b} \times 2\vec{a} \). ### Step 1: Define the vectors Given: \[ \vec{a} = 4 \hat{i} + 3 \hat{j} + 2 \hat{k} \] \[ ...
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If vec(a) = 3 hat(i) + hat(j) - 4 hat(k) , vec(b) = 6 hat(i) + 5 hat(j) - 2 hat(k) . Find (a) vec(a) xx vec(b) and (b) area of a triangle whose adjacent sides are dertermined by vec(a) and vec(b) .

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

Let vec( a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and vec( b) = 7 hat(i) + hat(j) - 6 hat(k) . If vec( r ) xx vec( a) = vec( r ) xx vec( b) , vec( r ) . ( hat(i) +2 hat(j) + hat(k)) = -3 , then vec ( r ). ( 2 hat(i)- 3hat(j) + hat(k)) is equal to :

If vec(a)= ( hat(i)- 2hat(j) + 3hat(k)) and vec(b)=(hat(i)-3hat(k)) " then find " |vec(b) xx2 vec(a)|.

If vec(a) = (hat(i) - 2 hat(j)+ 3 hat(k)) and vec(b) = (2 hat(i) + 3 hat(j)- 5 hat(k)) then find (vec(a) xx vec(b)) and " verify that " (vec(a) xx vec(b)) is perpendicular to each one of vec(a) and vec(b) .

If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3hat(k) , then (vec(b) - vec(a)).(3 vec(a) +vec(b)) equal to?

If vec(a) = 2 hat(i) + 2 hat(j) + hat(k) , vec(b) = - hat(i) + hat(j) + 2 hat(k) and vec ( c) = 3 hat(i) + hat(j) such that vec(a) + lambda hat (b) is perpendicular to vec( c) , find lambda .

Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) + hat(k), vec(c) = 3hat(i) + 2hat(j) + hat(k) and vec(d) = 3hat(i) - hat(j) - 2hat(k) , then . If vec(a) xx (vec(b) xx vec(c)) = pvec(a) + qvec(b) + rvec(c) , then find value of p,q are r.

Find the unit vectors perpendicular to both vec(a) and vec(b) when (i) vec(a) = 3 hat(i)+hat(j)-2 hat(k) and vec(b)= 2 hat(i) + 3 hat(j) - hat(k) (ii) vec(a) = hat(i) - 2 hat(j) + 3 hat(k) and vec(b)= hat(i) +2hat(j) - hat(k) (iii) vec(a) = hat(i) + 3 hat(j) - 2 hat (k) and vec(b)= -hat(i) + 3 hat(k) (iv) vec(a) = 4 hat(i) + 2 hat(j)-hat(k) and vec(b) = hat(i) + 4 hat(j) - hat(k)

If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k) , then projection of vec(a) on vec(b) will be :

CP SINGH-VECTORS-Excercises
  1. If vec(a) = 4 hat(i) + 3 hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 h...

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  2. A vector is not changed if

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  3. Two forces, each of magnitude F have a resultant of the same magnitude...

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  4. Two vectors acting through a point are in the ratio 3 : 5. If the angl...

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  5. The magnitude of vectros vec A, vec B and vec C are 12, 5 and 13 units...

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  6. If vec(A)=vec(B)+vec(C ), and the magnitudes of vec(A),vec(B),vec(C ) ...

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  7. Two forces, while acting on particle in opposite directions,have the r...

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  8. One of the following forces is double and the other resultant is equal...

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  9. Two vectors of magnitude 4 and 6 are acting through a point. If the ma...

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  10. The resultant of vecA and vecB makes an angle alpha with vecA and beta...

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  11. Which of the sets given below may represent the magnitudes of three ve...

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  12. The following sets of three vectors act on a body, whose resultant ...

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  13. Three vectors vec(P) , vec(Q) and vec( R) are such that |vec(P)| , |ve...

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  14. Three forces 9 , 12 and 15 N acting at a point are in equilibrium . T...

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  15. If the resultant of n forces of different magnitudes acting at a point...

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  16. Let vec(C )= vec(A)+vec(B) then

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  17. Forces of 1 and 2 units act along the lines x = 0 and y = 0. The equ...

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  18. The sum of two forces at a point is 16N. if their resultant is normal...

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  19. A particle is being acted upon by four forces of 30 N due east , 20 N ...

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  20. Six vector vec(a) through vec(f) have the magnitudes and direction ind...

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  21. If N-vectors of equal magnitude are acting through a point and angle b...

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