What are the direction cosines of 6 i - 2 j + 3 k?

Question 6

EasyOriginal question

What are the direction cosines of $6\hat{i} - 2\hat{j} + 3\hat{k}$ ?

6, -2, 3

Correct answerYour answer

\frac{6}{49}, -\frac{2}{49}, \frac{3}{49}

Correct answerYour answer

\frac{6}{7}, \frac{2}{7}, \frac{3}{7}

Correct answerYour answer

\frac{6}{7}, -\frac{2}{7}, \frac{3}{7}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$6, -2, 3$ are direction ratios; the cosines are those divided by the magnitude.

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