6
practice examMultiple Choice

Practice Exam

Question 6 • Precalculus

Let w = vector OR where cap o times open paren negative 5 comma 6 close paren and cap r times open paren 4 comma negative 2 close paren What is the component form of 1 fifth bold math font w ?

Answer
A
components 1 point 8 comma negative 1 point 6
B
components 0 point 2 comma 0 point 8
C
components 45 comma negative 40
D
components negative 5 comma 20

Explanation

To find vector OR, subtract the coordinates of O from the coordinates of R: (4 − (−5), −2 − 6) = (9, −8). Multiply each component by 1/5 to get (9/5, −8/5) = (1.8, −1.6). Therefore, the correct choice is A, components (1.8, −1.6).

AI-written and checked against the verified answer.

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