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Find '|vecx|', if for a unit vector 'vec...

Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

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If veca is a unit vector and (vecx-veca) .(vecx+veca)=8 , then find |vecx| .

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Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

Find |veca| and |vecb| , if (veca+vecb) .(veca-vecb)=8 and |veca|=8|vecb|

With help of a suitable figure for any three vectors veca,vecb and vecc show that (veca+vecb)+vecc=veca+(vecb+vecc)

If veca, vecb, vecc are unit vectors then, veca.veca =_____

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. If veca is any vector, prove that veca=(veca*i)i+(veca*j)j+(veca*k)k .

Find a unit vector perpedicular to each of the vector veca+vecb and veca-vecb where veca=2hati+hatj+hatk and vecb=hati-hatj+hatk

Find a unit vector perpendicular to each of the vectors (veca +vecb) and (veca-vecb) , where veca=hati+hatj+hatk, vecb=hati+2 hatj+3 hatk

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Write the scalar components of 3hati-2hatj+5hatk

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  2. Find the angle between the vectors hati+hatj and hati-hatj.

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  3. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

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  4. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x =

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  5. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

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  6. Principal value of tan^-1sqrt3is ------------

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  7. Write the following functions in the simplest form : tan^(-1) sqrt((...

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  8. Find int(x^2)/(2x^3+1) dx=--------

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  9. Prove that the function f(x)=2x-5 is continuous at x=-2

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  10. If xsqrt(1+y)=sqrtx, prove that dy/dx=-1/(x^2)

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  11. The factor of 3 is

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  12. Solve: x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

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  13. On Z^+,a*b=2^sqrt(ab), value of 4*9 is--------

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  14. In each of the following cases, states whether the function is one-one...

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  15. If f(x)=2x+3, findf[f(x)].

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  16. The total revenue received from tha sale of x units of a product is R(...

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  17. Find the equation of the normal to the curve x^2=9y which passes throu...

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  18. Consider the lines l1:(x-1)/2=(y-1)/-1=z/1 l2:(x-2)/3=(y-1)/-5=(z+1)/...

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  19. Consider the lines l1:(x-1)/2=(y-1)/-1=z/1 l2:(x-2)/3=(y-1)/-5=(z+1)/...

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  20. The condition for the lines with direction ratio a1,b1,c1 and a2,b2,c2...

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