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The distance of the point P(-3,4,5) fro...

The distance of the point P(-3,4,5) from yz plant is

A

3 units

B

4 units

C

5 units

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the distance of the point P(-3, 4, 5) from the yz-plane, we can follow these steps: ### Step 1: Understand the yz-plane The yz-plane is defined by the equation x = 0. This means that any point on the yz-plane has an x-coordinate of 0. ### Step 2: Identify the coordinates of point P The coordinates of point P are given as (-3, 4, 5). Here, the x-coordinate is -3, the y-coordinate is 4, and the z-coordinate is 5. ### Step 3: Use the distance formula The distance of a point (x, y, z) from the yz-plane can be calculated using the formula: \[ \text{Distance} = |x| \] This is because the distance from the yz-plane is simply the absolute value of the x-coordinate of the point. ### Step 4: Substitute the x-coordinate of point P For point P(-3, 4, 5), the x-coordinate is -3. Therefore, we calculate: \[ \text{Distance} = |-3| = 3 \] ### Step 5: Conclusion The distance of the point P(-3, 4, 5) from the yz-plane is 3 units. ---
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