SOLUTION: Add the equal vectors p, q, and r in the image? Here is a link to the image: https://imgur.com/a/E8an208

SOLUTION: Add the equal vectors p, q, and r in the image? Here is a link to the image: https://imgur.com/a/E8an208

Algebra.Com

Question 1183547: Add the equal vectors p, q, and r in the image? Here is a link to the image: https://imgur.com/a/E8an208
Answer by ikleyn(52905)   (Show Source): You can put this solution on YOUR website!
.

If one vector component form is   v = (x,y),

then   v + v + v = 3v = (3x,3y)   is the component form for   v + v + v = 3v.

In your case, each and every vector p, q and r has the component form v = (-1,3).   The three vectors are EQUAL.

THEREFORE, the sum of the three equal vectors is   (-3,9).                 ANSWER

Solved, answered and explained.

To gain more knowledge on vectors in a plane (for free), read these introductory lessons
    - Vectors in a plane
    - Sum of vectors that are coherently oriented sides of a convex closed polygon
    - Sum of vectors that are coherently oriented sides of an unclosed polygon
    - Sum of vectors that connect the center of a parallelogram with its vertices
    - Vectors in a coordinate plane
    - Addition, Subtraction and Multiplication by a number of vectors in a coordinate plane
    - Summing vectors that are coherently oriented sides of a convex closed polygon
    - Summing vectors that are coherently oriented sides of an unclosed polygon
    - The Centroid of a triangle is the Intersection point of its medians
    - The Centroid of a parallelogram is the Intersection point of its diagonals
    - Sum of vectors connecting the center of mass of a triangle with its vertices
    - Sum of vectors connecting the center of mass of a quadrilateral with its vertices
    - Sum of vectors connecting the center of mass of a n-sided polygon with its vertices
    - Sum of vectors connecting the center of a regular n-sided polygon with its vertices
    - Solved problems on vectors in a plane
    - Solved problems on vectors in a coordinate plane
in this site.

RELATED QUESTIONS
How do you add the equal vectors shown in the image? Here is a link to the image:... (answered by ikleyn)

In the image, what is an angle? Here is a link to the image:... (answered by ikleyn)

In the diagram shown in the image, find θ to the nearest degree. Here is a link to the... (answered by math_helper)

What is the area, in inches, of the figure in the image? Here is a link to the image:... (answered by ikleyn)

Is the parallelogram shown in the image a rhombus if x = 5? Here is a link to the image:... (answered by ikleyn)

What is the sine, cosine and tangent of ∠E in the triangle shown in the image? Here is... (answered by themasterofcircuits)

In the image, how do you reflect △ QRS across the line m and then translate it along v? (answered by MathLover1)

Reflect ∆ QRS across the line m and then translate it along v. Here is a link to the... (answered by MathLover1)

What is the measure, to the nearest degree, of∠A in the triangle shown in the image?... (answered by josgarithmetic)