Question

Give the component form of the resultant vector in the following.
NOTE: Answer must be typed in using the following format -- including the parentheses: (#,#)
u = (9, 2)
v = (-5, -2)
2u - 3v = ?

Answer 1

$\bf \begin{cases} u=(9,2)\\ v=(-5,-2) \end{cases}\qquad \begin{cases} 2u=&2(9,2)\\ &(2\cdot 9,2\cdot 2)\\ &(18,4)\\ 3v=&3(-5,-2)\\ &(3\cdot -5,3\cdot -2)\\ &(-15,-6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2u-3v\implies (8,4)-(-15,-6)\implies (8-(-15)~,~4-(-6)) \\\\\\ (8+15~,~4+6)\implies (23,10)$

Answer 2

The component form of the resultant vector 2u - 3v = (33,10)

The answer is 33 on the y-axis and 10 on the x-axis.

What is a vector?

• A vector is an object that has both a magnitude as wel as direction. direction.
• It is represented by an arrow (head) and the tail which indicates the direction.
• The length is proportional to the quantity's magnitude.
• The resultant vector can be calculated using vector addition, and vector subtraction.
• Unit vector always has a magnitude of one and tells about the direction

Using vector addition:-

u = (9, 2)

v = (-5, -2)

2u - 3v = 2 (9, 2)-3(-5, -2)

              18i + 4j + 15i +6j

              33i + 10j

 2u - 3v = (33,10)   answer

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

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