Recent questions tagged intersection-of-lines-and-planes

A vector $\overrightarrow a$ is parallel to the line of intersection of planes $P_1$ containing vectors $\hat i,\:\hat i+\hat j$ and $P_2$ conataining vectors $\hat i-\hat j,\:\hat i+\hat k$. Then the angle between $\overrightarrow a$ and $\hat i-2\hat j+2\hat k$ is?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane through the point $(1,2,-1)$ and $\perp$ to the line of intersection of the planes $\overrightarrow r.(3\hat i-\hat j+\hat k)=1$ and $\overrightarrow r.(\hat i+4\hat j-2\hat k)=2$ is?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane through origin and the line of intersection of the planes $\overrightarrow r.\overrightarrow a=\lambda\:\:and\:\:\overrightarrow r.\overrightarrow b=\mu$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane through the line of intersection of the planes $ax+by+cz=d=0$ and $a'x+b'y+c'z+d'=0$ and parallel to the line $y=0,z=0$ is ?

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

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 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

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

The distance of the line $\overrightarrow r=2\hat i-2\hat j+3\hat k+\lambda(\hat i-\hat j+4\hat k)$ from the plane $x+5y+z=5$ is ?

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

$L$ is line of intersection of the planes $2x+3y+z=1\:\:and\:\:x+3y+2z=2$ and $\alpha$ is the angle made by the line $L$ with positive $x-axis$ then $cos\alpha=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The line through the points $(5,1,a)\:\:and\:\:(3,b,1)$ crosses $yz$ plane at the point $(0,\large\frac{17}{2},-\frac{13}{2})$, then $(a,b)=?$

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

If $P(3,2,6)$ is a point and $Q$ is a point on the line $\overrightarrow r=(\hat i-\hat j+2\hat k)+\lambda(-3\hat i+\hat j+5\hat k),$ then the value of $\lambda$ for which $\overrightarrow {PQ}$ is parallel to the plane $x-4y+3z=1$ is ?

asked Dec 27, 2013 by rvidyagovindarajan_1

1 answer

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