Question

What is the distance of the point \((1,2,3)\) from the \(yz\)-plane?

• A. \(3\)
• B. \(2\)
• C. \(1\)
• D. \(\sqrt{3}\)

Hint:

Distance from coordinate planes: \[ \text{Distance from } yz\text{-plane} = |x|,\quad \text{from } xz\text{-plane} = |y|,\quad \text{from } xy\text{-plane} = |z|. \]

Answer 1

The Correct Option is C

Concept: The equation of the \(yz\)-plane is \[ x=0 \] The perpendicular distance of a point \((x,y,z)\) from the \(yz\)-plane is the absolute value of its \(x\)-coordinate.

Step 1: Identify the coordinate. Given point: \[ (1,2,3) \]

Step 2: Apply the distance formula. \[ \text{Distance} = |x| \] \[ = |1| \] \[ =1 \] \[ \boxed{1} \]