Question

Draw the vector C⃗ =1.5A⃗ −3B⃗ . The length and orientation of the vector will be graded. The location of the vector is not important.

Answer 1

I made the drawing in the attached file.

I included two figures.

The upper figure shows the effect of:

- multiplying vector A times 1.5.
 It is drawn in red with dotted line.

- multiplying vector B times - 3 .
It is drawn in purple with dotted line.

In the lower figure you have the resultant vector: C = 1.5A - 3B.

The method is that you translate the tail of the vector -3B unitl the point of the vector 1,5A, preserving the angles.

Then you draw the arrow that joins the tail of 1,5A with the point of -3B after translation.

The resultant arrow is the vector C and it is drawn in black dotted line.
 

Download pdf

Answer 2

Further explanation

Vector is a quantity that has a value and direction

Vector can be symbolized in the form of directed line segments

$\large{\boxed{\bold{\overrightarrow{A}}}}$

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$\large{\boxed{\bold{|a|\:=\:\sqrt{a_1^2+a_2^2}}}}$

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

brainly.com/question/2005478

identify the components of a vector

brainly.com/question/8043832

mathematical statement matches the vector operation

brainly.com/question/10164712

Keywords: vector, addition, subtraction