Recent questions in 3-D Geometry

The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If the plane $\large\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$ cuts the coordinate axis in $A,B,C$ respectively, then the area of the $\Delta\:ABC$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The image of the point $P(1,3,4)$ in the plane $2x-y+z+3=0$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If $L\rightarrow\:\:\large\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}$ and the plane $P\rightarrow\:\:x-2y-z=0$ , then which of the following is true?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The coordinates of the point on the line through $(3,-4,-5)$ and $(2,-3,1)$ at which the line crosses the plane $2x+y+z=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

If from the point $P(a,b,c)$ perpendiculars $PA$ and $PB$ are drawn to $yz$ and $zx$ planes respectively then the vector equation of the plane $OAB$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane whose foot of $\perp$ drawn from origin is $(1,2,1)$ . is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that meets the coordinated axis at the points $A,B,C$ respectively so that the centroid of the $\Delta ABC$ is $(\alpha,\beta,\gamma)$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The direction ratio of the line $3x+1=6y-2,\:z=1$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The point on the line $\overrightarrow r=(-2\hat i-\hat j+3\hat k)+\lambda(3\hat i+2\hat j+2\hat k)$ which is at a distance of $3\sqrt 2$ units from the point $(1,2,3)$ is ?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The angle between the lines whose $d.c.$ are given by the equations $3l+m+5n=0$ and $6mn-2nl+5lm=0$ is?

asked Jan 1, 2014 by rvidyagovindarajan_1

1 answer

The equation of the line through the point $(1,2,3)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+2\hat j-5\hat k)+9=0$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The equation of the line through the point $(1,1,3)$ and parallel to the planes $\overrightarrow r.(\hat i-\hat j+2\hat k)=5$ and $\overrightarrow r.(3\hat i+\hat j+\hat k)=6$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The line $\large\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is parallel to the which of the following?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

If a line makes angle $\alpha,\:\beta,\:\gamma$ with $x-axis,\:y-axis\:and\:\:z-axis$ respectively, then $sin^2\alpha+sin^2\beta+sin^2\gamma=?$

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The angle between the planes $3x+4y+5z=3$ and $4x-3y+5z=2$ is ?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The angle between the lines $\large\frac{2-x}{1}=\frac{y}{2}=\frac{z+3}{1}\:\:and\:\:\large\frac{x-4}{4}=\frac{y-1}{1}=\frac{z-5}{2}$ is?

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

If the planes $x=cy+bz,\:\:y=az+cx,\:z=bx+ay$ pass through a line then $a^2+b^2+c^2+2abc=?$

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

The point on $x - axis$ which is equidistant from points $(4,3,1)\:\: and\:\: (-2,-6,-2)$ is?

asked Dec 30, 2013 by rvidyagovindarajan_1

0 answers

The shortest distance between the lines $\large\frac{x-6}{1}=\frac{2-y}{2}=\frac{z-2}{2}$ and $\large\frac{x+4}{3}=\frac{y}{-2}=\frac{1-z}{2}$ is?

asked Dec 29, 2013 by rvidyagovindarajan_1

1 answer