Prove that the vectors 2hati-hatj+hatk, ...

Prove that the vectors `2hati-hatj+hatk`, `hati-3hatj-5hatk`, `3hati-4hatj-4hatk` are the sides of a right angled triangle.

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Find the value of 'a' do the which the pointA,B,C with position vectors 2hati-hatj+hatk,hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a right angled triangle with /_C=pi/2 .

Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2hatj-5hatk form a right angled triangle and find its area.

Show that the vectors 2hati + 3hatj,5hati -5hatk and 6hatj + 4hatk are co-planar.

Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk .

Prove that four points with position vectors hati+hatj-3hatk, 2hati -hatj-hatk,- hati +2hatj +2hatk and 2hati +2hatk arecoplanar

Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk

Find the angle between the vectors 3hati+ 4hatj and 2hati+hatj+hatk .

If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicular, find alpha

MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE

If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...
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Find the equation of the plane through the point (2,1,0) and passing t...
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Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...
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If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...
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Five boys and four girls randomly stand in a line. Find the probabilit...
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If a random variable X has a binomial distribution B (8,1/2) then find...
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A cricket team consisting of 11 players is to be chosen from 8 batsmen...
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Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]
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If P(n-1,3):P(n+1,3)=5:12, find n.
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Solve by Cramer’s rule 2x-y=2, 3x+y=13
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If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.
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A cylindrical open water tank with a circular base is to be made out o...
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If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...
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Solve frac[dx][dy]=frac[3x-7y+7][3y-7x-3]
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Evaluate intfrac[dx][cosx(1+2sinx)]
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Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...
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Prove the following by vector method. An angle inscribed in a semi-cir...
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Show that hatitimes (vecatimeshati)+hatjtimes(vecatimeshatj)+hatktime...
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The probability that a student will pass the final examination in both...
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If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).
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