Question
(a) $\frac{1}{2} \mathbf{i}-\frac{1}{2} \mathbf{j}$(b) $\frac{2}{3} \mathbf{i}+\frac{2}{3} \mathbf{j}$(c) $-\frac{1}{3} i-j$(d) $2 \sqrt{2} / 3$(e) $\sqrt{10} / 3$
Step 1
The magnitude of a vector (a,b) is given by the formula: Magnitude = β(a^2 + b^2) Now, let's find the magnitude for each option: (a) Magnitude = β((1/2)^2 + (-1/2)^2) = β(1/4 + 1/4) = β(1/2) = 1/β2 (b) Magnitude = β((2/3)^2 + (2/3)^2) = β(4/9 + 4/9) = β(8/9) = Show more…
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