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Show that the following vector are co-pl...

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

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

Find the value of lambda such that the following vectors are coplanar: -hati+lambdahatj -lambdahatk, 2hati+4hatj +5hatk, -2hati+4hatj -4hatk

Find the value of lambda so that the three vectors are co-planar. hati+2hatj+3hatk, 4hati+hatj+lambdahatk and lambdahati-4hatj+hatk

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

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

Find a unit vector perpendicular to the following two vectors veca =2hati+3hatj+6hatk and vecb = 3 hati-6 hatj+2 hatk

Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively 5hati-hatj+4hatk, 2hati+3hatj+5hatk, 5hati-2hatj+6hatk

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

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

The position vectors of the points A, B, C and D are 4hati+3hatj-hatk , 5hati+2hatj+2hatk , 2hati-2hatj-3hatk and 4hati-4hatj+3hatk respectively. Show that AB and CD are parallel.

SHARAM PUBLICATION-MODEL QUESTION PAPER 13-EXERCISE
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  2. Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the t...

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  3. For which value of x, the function f(x)=4-x-x^2is maximum or minimum.

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  4. Evaluate int (x+3)^2dx

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  5. Evaluateint0^pi (2/4)sinsqrtxdx

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  6. Evaluate int sin^-1 x dx

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  7. Find the area bounded by the line y = 2x, x- axis and the ordinate x =...

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  8. Solve(dy)/(dt)=e^(3t+5y)

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  9. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  10. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

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  11. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  12. Find the equation of the plane passing through (3,-6,-9) and parallel ...

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  13. If f:RrarrR,g :RrarrR and h : RrarrR such that f(x)=x^2, g(x)= tan x a...

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  14. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

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  15. Prove the following: [[a+b+c,-c,-b],[-c,a+b+c,-a],[-b,-a,a+b+c]] =...

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  16. Evaluate int0^(pi//2) (cos x)/ ((2+ sin x)(3+sin x))dx

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  17. Find the area of the region between the curves y=cos x" and "y=sinx,x ...

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  18. Solve (x-y+1)dx-(x+y+5)dy=0

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

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  20. Find the equation of the plane through the points (2, 2,1)and (9, 3, 6...

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