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A line AB in three dimensional space makes angles 45° and 120° with the positive x – axis and the positive y – axis respectively. If AB makes an acute angle ? with the positive z – axis, then ? equals -

A line AB in three dimensional space makes angles 45° and 120° with the positive x – axis and the positive y – axis respectively. If AB makes an acute angle ? with the positive z – axis, then ? equals -

Grade:12

2 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
240-1956_14.PNG
Thanks and regards
Shaik Aasif
askIITians faculty
SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Directional cosines of line segment AB is cos 45,cos 120,cos\Theta
so cos245+cos2120+cos2\Theta=1
we get cos\Theta=1/2
so\Theta=60 degrees.
Thanks and regards
Shaik Aasif
askIITians faculty

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