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If hati+hatj+hatk, 2hati +5hatj, 3 hati...

If `hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk` and `hati-6hatj-hatk` are the position vectors of the points A, B, C, D respectively, then the angle between `vec(AB)` and `vec(CD)` is -

A

`(pi)/(6)`

B

`(2pi)/(3)`

C

`(pi)/(3)`

D

`pi`

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The correct Answer is:
D
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If the position vectors of the points A, B, C, D are hati+hatj+hatk, 2hati+5hatj, 3hati +2hatj-3hatk and hati-6hatj-hatk respectively, then the angle between the vectors vec(AB) and vec(CD) is -

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

The position vectors of the three vertices of a triangle are (-hati-3hatj+2hatk), (5hati+7hatj-5hatk) and (2hati+5hatj+6hatk) , then the position vector of the point of intersection of the medians of the triangle is -

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

vecA =2hati+3hatj+4hatk and vecB=hati-hatj+hatk are two vectors. Find vecAxxvecB .

If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+3hatk are coplanar, then the value of m is -

For what value of a, the vectors 2hati-3hatj+4hatk and a hati-6hatj+8hatk are collinear ?

If the vectors vec a=2hati-hatj+hatk, vec b=hati+mhatj-3hatk and vec c =3hati-4hatj+5hatk are coplanar, then find m.

Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

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  2. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

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  3. If hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk and hati-6hatj-h...

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  4. In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that...

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  5. If the probability that a randomly selected bulb produced by a factory...

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  6. If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+...

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  7. The direction cosines of the line which is perpendicular to the lines ...

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  8. The cosine of the angle between the lines vecr=3hati+2hatj-4hatk+lam...

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  9. The coordinates of the point of intersection of the lines vecr=(hati+...

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  10. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

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  11. The equation of the plane passing through the point (1, -3, -2) and pe...

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  12. If a, b be two fixed positive integers such that f(a+x)=b+[b^(3)+1-3...

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  13. The derivative of the function (sec x+tan x)/(sec x-tanx) is -

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  14. If y=sin x^(@) and z=log(10)x, then the value of ( dy)/(dz) is -

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  15. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  16. If x=sin t and y=cos p t, then which of the following is true ?

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  17. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), if a=4,...

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  18. If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions ...

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  19. The value of lim(x to 0)(e^(x)-log(e+ex))/(x) is -

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  20. Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","w...

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