Calculate the magnitudes of the vectors (a) (2, 2); (b) (2, 2\sqrt{3}); (c) (-2\sqrt{3}, 2); (d) (-3, – 3); (e) (6, -6).
Chapter 1
Q. 1.1
Step-by-Step
Verified Solution
|\mathbf{v}|=\text { magnitude of } \mathbf{v}=\sqrt{a^{2}+b^{2}}
(a) |\mathbf{v}|=\sqrt{2^{2}+2^{2}}=\sqrt{8}=2 \sqrt{2}
(b) |\mathbf{v}|=\sqrt{2^{2}+(2 \sqrt{3})^{2}}=4
(c) |\mathbf{v}|=\sqrt{(-2 \sqrt{3})^{2}+2^{2}}=4
(d) |\mathbf{v}|=\sqrt{(-3)^{2}+(-3)^{2}}=\sqrt{18}=3 \sqrt{2}
(e) |\mathbf{v}|=\sqrt{6^{2}+(-6)^{2}}=\sqrt{72}=6 \sqrt{2}