If a = (4, 0, 3) and b = (-2, 1, 5) find |a|, the vector a – b and 2a + b

Question

If a = (4, 0, 3) and b = (-2, 1, 5) find |a|, the vector a &#8211; b and 2a + b

Suresh Chand · Accepted Answer

Solution: Given vectors are a = (4 , 0, 3) b = (-2, 1, 5) Now, (|vec{a}| = sqrt{4^2 + 0^2 + 3^2} = 5 enspace units) (vec{a} - vec{b}) = (4 , 0, 3) - (-2, 1, 5) = (6, -1, -2) (2vec{a} + 5vec{b}) = 2(4 , 0, 3) - 5(-2, 1, 5) = (8, 0, 6) + (-10, 5, 25) = (-2, 5, 31)

If a = (4, 0, 3) and b = (-2, 1, 5) find |a|, the vector a – b and 2a + b

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If a = (4, 0, 3) and b = (-2, 1, 5) find |a|, the vector a – b and 2a + b

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