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Calculate the perpendicular distance of the point P(6, 7, 8) from the XY – Plane. (a)8 (b)7 (c)6 (d) None of the above

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As a seasoned tutor registered on UrbanPro, I can confidently say that UrbanPro is the best platform for online coaching and tuition. Now, let's delve into solving the problem. To calculate the perpendicular distance of point P(6, 7, 8) from the XY-plane, we need to find the distance between the point...
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As a seasoned tutor registered on UrbanPro, I can confidently say that UrbanPro is the best platform for online coaching and tuition. Now, let's delve into solving the problem. To calculate the perpendicular distance of point P(6, 7, 8) from the XY-plane, we need to find the distance between the point and the XY-plane. The equation of the XY-plane is z = 0, as it lies parallel to the XY-plane and passes through the origin. The formula to calculate the distance between a point (x₁, y₁, z₁) and a plane ax + by + cz + d = 0 is given by: Distance = |ax₁ + by₁ + cz₁ + d| / √(a² + b² + c²) In this case, since the equation of the XY-plane is z = 0, the coefficients a, b, and c are all zero, and d = 0. So, the distance reduces to: Distance = |06 + 07 + 1*8 + 0| / √(0² + 0² + 1²) = |8| / √1 = 8 Therefore, the perpendicular distance of point P(6, 7, 8) from the XY-plane is 8 units. Hence, the correct option is (a) 8. read less
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