Question 1 :
The projection of the join of the two points $(1,4,5), (6,7,2)$ on the line whose d.s's are $(4,5,6)$ is
Question 2 :
If $P(x, y, z)$ moves such that $x=0, z=0$, then the locus of $P$ is the line whose d.cs are<br/>
Question 3 :
A vector is equally inclined to the $x$-axis, $y$-axis and $z$-axis respectively, its direction cosines are
Question 4 :
If the lines $x=1+a,y=-3-\lambda a,z=1+\lambda a$ and $x=\cfrac { b }{ 2 } ,y=1+b,z=2-b$ are coplanar, then $\lambda$ is equal to
Question 5 :
If a line makes the angles $ \alpha , \beta$ and $\gamma$ with the axes, then what is the value of $1+\cos 2\alpha +\cos 2\beta+\cos 2\gamma$ equal to ?
Question 6 :
If the direction ratios of two lines are given by $3lm-4ln+mn=0$ and $l+2m+3n=0$, then the angle between the lines is
Question 7 :
The angle between the lines, whose direction ratios are $1,1,2$ and $\sqrt { 3 } - 1 , - \sqrt { 3 } - 1,4 ,$ is
Question 8 :
If a line makes an angle of ${\pi }/{4}$with the positive direction of each of $x$-axis and $y$-axis, then the anglethat the line makes with the positive direction of the $z$-axis is
Question 9 :
If the points whose position vectors are $2i+j+k, 6i-j+2k$ and $14i-5j+pk$ are collinear, then the value of p is?