Find a vector (a) of magnitude 5root2 making an angle of pie/4 with x axis pie/2 with y axis and an acute angle k with z axis

Hello Srishti, the condition is that the sum of squares of directions cosines such cos α, cos ​β and cos γ is to be 1
So cos^2 pi/4 + cos^2 pi/2 + cos^2 γ = 1
==> 1/2 + 0 + cos^2 γ = 1
==> cos^2 γ= 1/2
So γ = pi/4
The magnitude is given as 5​√2
Hence components along the axes are 5​√2 cos pi/4 , 5​√2 cos pi/2 and 5​√2 cos pi/4
So the expected vector will be 5 i + 5 j
  • 46
Hu
  • -7
Answer batao
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Pta nahi
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answer 5i+5j nahi aega?
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Hello srishti

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5i^+5k^is the answer
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It will be 5i+5 k
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The amswer will be 5i +5k
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What are you looking for?