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Angles made by vectors I+j+under root 2k on x and y and z axis

Angles made by vectors I+j+under root 2k on x and y and z axis

Grade:10

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
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)
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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