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Chapter 1: 13P (page 39)

Question: What is the magnitude of the vector v, where v=(8脳106,0,-2脳107)m/s?

Short Answer

Expert verified

Answer

Magnitude of given vector is 21.54脳106m/s

Step by step solution

01

Formula used

Magnitude of a vector ahaving coordinates (x,y,z)is given by|a|=x2+y2+z2. The magnitude of a vector gives the length of the vector so, basically magnitude is used to find the length of a vector between the initial and the final point of the vector.

02

Calculation of magnitude

Substitute x=8脳106,y=0and z=-2脳107into the formula of magnitude to get the magnitude of the given vector.

|v|=(8脳106)2+02+(-2脳107)2=(64脳1012)+0+(4脳1014)=464脳1012=21.54脳106m/s

Thus, the magnitude of the given vector vis 21.54脳106m/s.

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