Question

A vector of components (6, 2) is multiplied by the scalar value of 3. What is the magnitude and direction of the resultant vector? magnitude: 19.0; direction: 18.4° magnitude: 8.49; direction: 45.0° magnitude: 2.11; direction: 12.6° magnitude: 18.1; direction: 16.7°

Answer 1

you don't have 12.6 in there

Answer 2

Answer: The magnitude and direction of the vector with component (6, 2) after multiplication with scalar value 3 is:

magnitude: 19.0; direction: 18.4°

Explanation;

`\overrightarrow{V}=6\widehat{i}+2\widehat{j}`

`|\overrightarrow{V}|=√(6^2+2^2)=2√(10)`

`\overrightarrow{V}=3* |\overrightarrow{V}|=3* 2sqrt{10}=18.97\approx 19`

Direction:
`\tan\theta =(2)/(6)p`

`\theta =\tan^(-1)(1)/(3)=18.43^o\approx 18.4^o`

The magnitude and direction of the vector with component (6, 2) after multiplication with scalar value 3 is:

magnitude: 19.0; direction: 18.4°