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Find the Cartesian equation of the plane through the point with position vector `2hati-hatj+hatk` and perpendicular to the vector `4hati+2hatj-3hatk` .

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Find the vector and cartesian equation of the plane through the point whose position vector is 2hati-3hatj+hatk and normal to the vector 3hati-2hatj-hatk .

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Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hati-hatj+4hatk and is in the direction hati+2hatj-hatk

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Find the parametric form of vector equation, and Cartesian equations of the plane containing the line vecr(hati-hatj+3hatk)+t(2hati-hatj+4hatk) and perpendicular to the plane vecr.(hati+2hatj+hatk)=8 .

The vector vecB= 5hati+2hatj-shatk is perpendicular to the vector vecA = 3hati+hatj+2hatk for s =

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  11. Derive the equation of the plane in the intercept form.

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  12. Find the Cartesian form of the equation of the plane vec(r)=(s-2t)hat(...

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  13. Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...

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  14. If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1...

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  15. If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/...

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  16. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)...

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  18. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

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  19. Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-...

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  20. Find the meeting point of the line vecr=(2veci+vecj-3veck)+t(2veci-v...

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