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The direction cosines of a→+b→, are
Given data:
a = 4i^ + 7j^ - 5k^
b= 3i^ + 4j^ + k^
a→+b→ = 7i + 11j - 4k
( a→+b→ ) / | a→+b→ | = ( 7i + 11j - 4k ) / [tex]\sqrt{7^2 + 11^2 + 4^2 }[/tex]
= ( 7i + 11j - 4k ) / 13.64
= 0.5232 i + 0.8065 j + 0.2933 k
Therefore the direction cosines are
cos ∝ = 0.5232
cos β = 0.8065
cos γ = 0.2933
Hence we can conclude that the direction cosines of a→+b→ are as listed above.
Learn more about direction cosines : https://brainly.com/question/20734777