The angles which the vector i - j - r 2 k - makes withe X - Y and Z axes respectively are

Let the unit vector along x axis be i(cap) i+j+√2k=A is the given vector A.i=|A||i|cosX = gt;1=2cosX = gt;X=60⁰ (angle made with the X axis) Let the u ...

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Standard XII

Physics

Multiplication with Vectors

The angles wh...

Question

The angles which the vector i^+j^+rt2k^ makes withe X,Y and Z axes respectively are

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Solution

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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