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Find | vec x| , if for a unit vector ve...

Find `| vec x|` , if for a unit vector ` vec a ,\ ( vec x-\ vec a)dot( vec x+ vec a)=15`

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MODERN PUBLICATION-VECTOR ALGEBRA -Frequently Asked Questions (Example)
  1. Find lambda, when the projection of vec a=lambda hat i+ hat j+4 hat k...

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  2. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

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  3. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

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  4. If ā,b,c are three vectors such that |veca |= 5, |vecb| = 12 and | ...

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  9. Let vec(A)=4hat(i)+5hat(j)-hat(k), vec(b)=hat(i)-4hat(j)+5hat(k) and v...

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  11. If vectors vec a\ a n d\ vec b\ are such that | vec a|=3,\ | vec b|...

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  12. If 'theta' is the angle between the vectors : vec(a)=hat(i)+2hat(j)+3h...

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  13. Find 'lambda' and 'mu' if : (hat(i)+3hat(j)+9hat(k))xx(3hat(i)-lam...

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  14. If vec a= hat i+ hat j+ hat kand vec b= hat j- hat k ,find a vect...

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  15. If vec(r )=x hat(i)+y hat(j)+x hat(k), find : (vec(r )xx hat(i)).(vec...

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  16. If vec(a) xx vec(b)= vec(c) xx vec(d) and vec(a) xx vec(c) =vec(b) xx ...

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  18. Find the area of the parallelogram whose adjacent sides are determined...

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  19. Find the area of a parallelogram whose adjacent sides are given by th...

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  20. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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