Question

QUES. ɪꜰ ᴀ ʟɪɴᴇ ᴍᴀᴋᴇꜱ ᴀɴɢʟᴇꜱ 90°, 135°, 45° ᴡɪᴛʜ ᴛʜᴇ x, ʏ ᴀɴᴅ ᴢ-ᴀxᴇꜱ ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ, ꜰɪɴᴅ ɪᴛꜱ ᴅɪʀᴇᴄᴛɪᴏɴ ᴄᴏꜱɪɴᴇꜱ.

ꜱᴘᴀᴍᴍᴇʀ ꜱᴛᴀʏ ᴀᴡᴀʏ..​

Answer 1

Answer:

0,

$- \frac{1}{ \sqrt{2} }$

$\frac{1}{ \sqrt{2} }$

Step-by-step explanation:

cosines are cos(a)

so cos90=0

cos 135=

$- \frac{1}{ \sqrt{2} }$

cos45=

$\frac{1}{ \sqrt{2} }$

Answer 2

Let the direction cosines of the line be l,m,n.

$l = cos 90⁰ = 0$

$m = \cos {135}^{o} = - \frac{1}{ \sqrt{2} }$

$n = \cos {45}^{o} = \frac{1}{ \sqrt{2} }$

${\textbf{\textsf{{\color{cyan}{Therefore, the direction cosines of the line are}}}}}$

$0, - \frac{1}{ \sqrt{2} } \: and \: \frac{1}{ \sqrt{2} }$

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