Straight line in space Maths - Straight line in space

1. parallel to x-axis
2. parallel to y-axis
3. parallel to z-axis
4. perpendicular to z-axis

1. Coinicident.
   
2. Skew.
   
3. Intersecting.
   
4. Parallel.
   

1. -2
2. -1
3. 1
4. 2

1. $\cos^{-1}\big(\frac{1}{65}\big)$
   
2. $\frac{\pi}{6}$
   
3. $\frac{\pi}{3}$
   
4. $\frac{\pi}{4}$
   

1. $13;\frac{12}{13},\frac{4}{13},\frac{3}{13}$

2. $19;\frac{12}{19},\frac{4}{19},\frac{3}{19}$

3. $11;\frac{12}{11},\frac{14}{11},\frac{3}{11}$

4. $\text{None of these}$

$\vec{\text{r}}=\vec{\text{a}}_1+\lambda\vec{\text{b}}$ and $\vec{\text{r}}=\vec{\text{a}}_2+\mu\vec{\text{b}}.$

$\frac{\text{x}-5}{1}=\frac{2\text{y}+6}{-2}=\frac{\text{z}-3}{1}$ and $\frac{\text{x}-2}{3}=\frac{\text{y}+1}{4}=\frac{\text{z}-6}{5}$