A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive

Question

A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive

A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Let `l, m and n` be the direction cosines of the given line. As it makes an acute angle with the x-axis, `l gt 0`. The line passes through (6, -7, -1) and (2, -3, 1), therefore, its direction ratios are (6, -2, -7+3, -1-1) or (4, -4, -2). Hence, the direction cosines of the given line are 2/3, -2/3 and -1/3.

5 views Answered 2023-02-05 15:29