Question

The angles which a vector i+j+√2k makes with x,y,z axis respectively are?

Answer 1

Let the unit vector along x axis be i(cap)

 

i+j+√2k=A is the given vector

 

A.i=|A||i|cosX

=>1=2cosX

=>X=60⁰ (angle made with the X axis)

 

Let the unit vector along y axis be j(cap)

A.j=|A||j|cosY

=>Y=60⁰ (angle made with the Y axis)

 

 

 

Let the unit vector along z axis be k(cap)

A.k=|A||k|cosZ

=>√2=2cosZ

=>Z=45⁰ (angle made with the Z axis)

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Answer 2

Explanation:

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