Further explanation
Vector is a quantity that has a value and direction
Vector can be symbolized in the form of directed line segments
[tex]\large{\boxed{\bold{\overrightarrow{A}}}}[/tex]
while the length of the vector is denoted by | a |
Vectors can be written in the form of sequential pairs which show their coordinates in the Cartesian plane : a (a₁, a₂)
with length[tex]\large{\boxed{\bold{|a|\:=\:\sqrt{a_1^2+a_2^2}}}}[/tex]
If the direction of vector a is reversed, we get the vector -a which has the same length but in the opposite direction
Operations on vectors include addition and subtraction. Addition of vectors a and vector b can be done in a triangular way where the base point of vector b coincides with the endpoint of vector a
The sum of the two is obtained by pulling the line segment from the base point of vector a to the endpoint of vector b which results in a new vector c
So a + b = c
If vector a is added by inverse b (-b) then the sum becomes a + (- b) = a-b
If a vector is multiplied by a scalar number (eg denoted by k) then the new vector becomes k | a |.
If k> 0, the new vector is in the direction of vector a, but if k <0 it will be in the opposite direction
There is an incomplete picture in the problem (picture attached), then a total of the vector is sought to obtain C = 1.5A-3B
If we multiply vector A by 1.5 then the length becomes 1.5 times vector A and in the same direction, so does vector B multiplied by the value of -3, which is 3 times the length of vector B but the direction is opposite, so we get vector C (attached picture) obtained by drawing a line from the starting point A and the endpoint B
Learn more
velocity position
https://brainly.com/question/2005478
identify the components of a vector
https://brainly.com/question/8043832
mathematical statement matches the vector operation
https://brainly.com/question/10164712
Keywords: vector, addition, subtraction
