Question

if ~u = 2ˆı −ˆ and w~ =ˆı 2ˆ, find the component form of ~v = ~u w~ and sketch the specified vector operations geometrically.

Answer 1

The component form of the vector - u + w is determined as  -2i + 3j.

Component vector V

The component vector V is calculated from the summation of vector U and vector W.

v = -u + w

Given;

• u = 2i - j
• w = i + 2j

v = -(2i - j) + i + 2j

v = -2i + j + 2j

v = -2i + 3j

A sketch of the vector

                                     y - axis        

                                        ↑  

                                        ↑  

                                        ↑ 3j

                                        ↑

x - axis  ←    ←    ←    ←    ←

                      2i

The complete question is below:

if u = 2i - j  and w = i + 2j, find the component form of ~v = -u + w~ and sketch the specified vector operations geometrically.

Learn more about vectors here: https://brainly.com/question/25705666

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