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Math  /  Geometry

QuestionClick Play to watch the video. Answer the ungraded questions in the video and the graded follow-up questions at riaht.
Figure 1 of 2
Part C
The sum of the xx components of vectors AA and BB in (Figure 1) is \qquad . 6 14 −5-5 4 Submit Request Answer
Part D
Which of the choices shows the correct resultant of adding the two vecto

Studdy Solution

STEP 1

1. Vector A⃗\vec{A} has an initial point at (1,1)(1,1) and a terminal point at (5,3)(5,3).
2. Vector B⃗\vec{B} has an initial point at (5,3)(5,3) and a terminal point at (10,6)(10,6).
3. The sum of the xx components of vectors A⃗\vec{A} and B⃗\vec{B} can be found by adding their individual xx components.
4. The xx component of a vector is the difference in the xx coordinates of its terminal and initial points.

STEP 2

1. Determine the xx component of vector A⃗\vec{A}.
2. Determine the xx component of vector B⃗\vec{B}.
3. Sum the xx components of vectors A⃗\vec{A} and B⃗\vec{B}.

STEP 3

Determine the xx component of vector A⃗\vec{A} by subtracting the initial xx coordinate from the terminal xx coordinate.
xA⃗=5−1=4x_{\vec{A}} = 5 - 1 = 4

STEP 4

Determine the xx component of vector B⃗\vec{B} by subtracting the initial xx coordinate from the terminal xx coordinate.
xB⃗=10−5=5x_{\vec{B}} = 10 - 5 = 5

STEP 5

Sum the xx components of vectors A⃗\vec{A} and B⃗\vec{B}.
xtotal=xA⃗+xB⃗=4+5=9x_{\text{total}} = x_{\vec{A}} + x_{\vec{B}} = 4 + 5 = 9
Solution: The sum of the xx components of vectors A⃗\vec{A} and B⃗\vec{B} is 99.

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