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The vector equation of the plane which i...

The vector equation of the plane which is at a distance of `3//sqrt(14)` from the origin and the normal from the origin is `2hati-3hatj+hatk` is

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The position vectors of the points P and Q with respect to the origin O are veca = hati + 3hatj-2hatk and vecb = 3hati -hatj -2hatk , respectively. If M is a point on PQ, such that OM is the bisector of POQ, then vec(OM) is

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
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  3. The vector equation of the plane which is at a distance of 3//sqrt(14)...

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  4. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

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  5. Find the value of tan ""pi/8.

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  7. If x^(m)y^(n) = (x + y)^(m +n) then (dy)/(dx) is equal to

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  8. The differential coefficient of log(10)x with respect to log(x)10 is

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  9. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

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  10. The value of fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx ...

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  11. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

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  12. The general solution of cot theta + tan theta = 2 is

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