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x-y+1=0**Coordinates of point in space; sign of coordinates of a point**

**Distance formula in 3D**

**Section formula (internal + external)**

**The x coordinates of a point on the line joining the points Q(2; 2; 1) and R(5; 1; -2) is 4. Find its z coordinate.**

**Direction cosine and ratio of line**

**Direction Ratio of line along the bisector of two given lines**

**Find the distance of the point P(a; b; c) from the x axis**

**Angle Between Two vectors in terms of direction cosine and direction ratio**

**Condition of parallel and perpendicular lines**

**Find the angle between the lines whose direction cosines are given by the equations `3l + m + 5n = 0` and `6mn - 2nl + 5lm = 0`**