Recent questions tagged equations-of-planes

If the plane $x-2y+3z=0$ is rotated through a right angle about its line of intersection with the plane $2x+3y-4z-5=0$, then the eqn. of the plane in its new position is ?

asked Jan 9, 2014 by rvidyagovindarajan_1

1 answer

The angle between the line formed by $3x-7y-5z=1$ and $8x-11y+2z=0$ and the line formed by $5x-13y+3z+2=0$ and $8x-11y+2z=0$

asked Jan 9, 2014 by rvidyagovindarajan_1

1 answer

The equation of projection of the line $\large\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{3}$ on the plane $x+y+z=1$ is given by ?

asked Jan 8, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane which makes double the intercepts of the plane $3x+6y-z+12=0$ is ?

asked Jan 7, 2014 by rvidyagovindarajan_1

1 answer

The value of $k$ for which the line $\large\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ to lie on the plane $2x-4y+3z=6$ is ?

asked Jan 6, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane passing through the point $(1,1,1)$ and having direction ratios $b,c,a$ $(a < b < c)$, where $a,b,c$ are prime factors of $2001$ is ?

asked Jan 6, 2014 by rvidyagovindarajan_1

1 answer

The vectors $\overrightarrow a,\overrightarrow b,\overrightarrow c\:\overrightarrow d$ be are such that $(\overrightarrow a\times\overrightarrow b)\times (\overrightarrow c\times\overrightarrow d)=0$ and $P_1,\:P_2$ are two planes containing the pair of vectors $\overrightarrow a,\overrightarrow b$ and $\overrightarrow c,\overrightarrow d$ respectively, then the angle between the planes is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane having intercepts of $3$ and $4$ with $x$ and $z$ axes respectively and parallel to $y$ axis is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane containing the lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b\:\:and\:\:\overrightarrow r=\overrightarrow a_2+\mu\overrightarrow b$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane that contains the line $\overrightarrow r=2\hat i+\lambda(\hat j-\hat k)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+\hat k)=3$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

If the position vector of the points $A\:and\:B$ are $\hat i-\hat j+3\hat k$ and $3\hat i+3\hat j+3\hat k$ and the equation of a plane is $\overrightarrow r.(5\hat i+2\hat j-7\hat k)+9=0$, then the points $A\:and\:B$ are?

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

asked Dec 31, 2013 by rvidyagovindarajan_1

1 answer

If the equation of the plane containing the line $\large\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}$ is $a(x-x_1)+b(y-y_1)+c(z-z_1)=0$, then ?

asked Dec 29, 2013 by rvidyagovindarajan_1

1 answer

The equation of the plane passing through the point $(3,2,0) $ and the line $\large\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}$ is ?

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

The line $\overrightarrow r=(4\hat i+2\hat j+\alpha \hat k)+\lambda(\hat i+\hat j+2\hat k)$ lies on the plane $2x-4y+z=7$ if $\alpha=?$

asked Dec 28, 2013 by rvidyagovindarajan_1

1 answer

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