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Chapter 1: Q4CP (page 12)

If v⇀=2,-3,5m/s, then what is -12v⇀??

Short Answer

Expert verified

The value of -12v⇀ is 3.08 m/s.

Step by step solution

01

Understanding the concept of multiplication of vector with a scalar

If a vector is multiplied by a scalar, its corresponding components get multiplied by the scalar individually.

The magnitude of a particular vector can be evaluated when its corresponding components are squared and added. Then its square root needs to be found.

02

Determination of the velocity vector  -12v⇀

The given velocity vector is .v⇀=2,-3,5m/s

Multiply the given vector by -12 to get the required velocity vector,

-12v⇀=-22,32,55m/s=-132,52m/s

03

Determination of magnitude of  -12v⇀

Take the square root of the sum of the squares of all the components of the vectors to obtain the required magnitude,

-12v⇀=-1232-522m/s=1±94±254m/s4±9±254m/s=3.08m/s

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