Question

Find the magnitude and direction of the following

2-space vectors.

a. (−3, 4)

b. (2, 7)

c. (−5, −3)

Answer 1

Magnitude of the 2- space vectors are

a) For (-3,4) the answer is $\sqrt{9+16}=\sqrt{25}=5$ .

b) For (2,7) the answer is $\sqrt{4+49}=\sqrt{53}$

c) For (-5,-3) the answer is $\sqrt{25+9}=\sqrt{34}$

Direction of the 2-space vectors are

a) $tan^{-1}(\frac{4}{-3})$

b) $tan^{-1}{\frac{7}{2}}$

c) $tan^{-1}{\frac{-3}{-5}}=tan^{-1}{\frac{3}{5}}$