Vector u has its initial point at (1, -12) and its terminal point at (18, 6). Vector v points in a direction opposite that of u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

Respuesta :

Answer:

v = <-51, -54>

Step-by-step explanation:

The components of u can be determined by subtracting the initial point from the terminal point. Then the components of v will be -3 times those. The negative sign is there because the direction is opposite.

Many calculators can do some forms of vector arithmetic. Here, all we're doing is adding and subtracting, so treating each point and vector as a list works just fine.

u = <18-1, 6-(-12)> = <17, 18>

v = -3u = -3·<17, 18> = <-51, -54>

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