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Given vec alpha=3hati+hatj+2hatk and vec...

Given `vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk` are the position vectors of the points `A and B` Then the distance of the point `-hati+hatj+hatk` from the plane passing through `B` and perpendicular to `AB` is (a) `5` (b) `10` (c)`15` (d) `20`

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

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vecA =2hati +3hatj+4hatk & vecB=hati- hatj + hatk are two given vectors. Find out the value of barA xx barB .

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If vec(OA) = hati - 2hatk and vec(OB) = 3 hati - 2hatj then the direction cosines of the vectore vec(AB) are

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The equation of the plane through the line of intersection of the plan...

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  2. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

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  3. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

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  4. Find the following are equations for the plane passing through the p...

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  5. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

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  6. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

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  7. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

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  8. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

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  9. The equation of a plane which passes through the point of intersection...

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  10. If the foot of the perpendicular from the origin to plane is P(a ,b ...

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  11. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

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  12. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

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  13. The coordinates of the foot of the perpendicular drawn from the orig...

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  14. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  15. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  16. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

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  17. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

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  18. The length of projection of the line segment joining the points (1,0,-...

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  19. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

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  20. Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z...

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