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Grade 12Algebra

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 -

saket kumar

12 Years agoGrade 12

2 Answers

SHAIK AASIF AHAMED

12 Years ago

Hello student,

Thanks and regards

Shaik Aasif

askIITians faculty

SHAIK AASIF AHAMED

12 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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