A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a,b) . Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c) . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w = (2, 3, 3) or, in terms of the unit vectors i = (1, 0, 0) , j= <0, 1, 0o> , and k = (0, 0, 1> , as w = 2i + 3j + 3k. Use this convention for Exercises 99–100. P(2, 3, 3) 100. The magnitude of v =

Please solve it.

For each vector, find the angle that the vector makes with the x-axis. Round your answers to the nearest 0.1◦.10a. ⟨5, 2⟩, 10b. ⟨−6, 1⟩, 10c. ⟨−3, −4⟩, 10d. ⟨2, −1⟩,10e. ⟨3, 0⟩, 10f. ⟨0, 4⟩, 10g. ⟨−2, 0⟩, 10h. ⟨0, −8⟩.

3. Below are 2 vectors in component form. Graph these vectors in standard position and then find their magnitude and direction angle. a. v= (-2,7) b. v= (-5,-1)