calculate the direction of cosines of a+b given that a=4i+7j-5k and b=3i+4j+k
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Step 1
a + b = (4i + 7j - 5k) + (3i + 4j + k) a + b = (4 + 3)i + (7 + 4)j + (-5 + 1)k a + b = 7i + 11j - 4k Now, we need to find the magnitude of the vector a + b. |a + b| = √(7^2 + 11^2 + (-4)^2) |a + b| = √(49 + 121 + 16) Show more…
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