Question

A vector has a component of 10 m in the +x direction , a component of 10m in the +y direction and a component of 5m in the +z direction. the magnitude of this vector is what.

Answer 1

10i +10j + 5k so the magnitude of vector is √10^2+10^2+5^2

Answer 2

Answer:

the magnitude of this vector is 15 m

Explanation:

magnitude of a vector R in cartesian plane is

$r = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} }$

given that x = 10, y = 10, z = 5

$r = \sqrt{ {10}^{2} + {10}^{2} + {5}^{2} } \\ = \sqrt{ 100 + {100} + {25} } \\ = \sqrt{225 } = 15.$

therefore ,

r = 15 m.

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