Vector C can be drawn as shown in the attachment
Further explanation
Vector is a quantity that has a magnitude and direction.
A vector in a cartesian coordinate is represented by an arrow in which the slope of the arrow shows the direction of the vector and the length of the arrow shows the magnitude of the vector.
A position vector of a point is a vector drawn from the base point of the coordinates O (0,0) to that point.
The addition of two vectors can be done in the following ways:
[tex]\overrightarrow {AB} + \overrightarrow {BC} = \overrightarrow {AC}[/tex]
A negative vector is a vector with the same magnitude but in opposite direction.
[tex]\overrightarrow {AB} = -\overrightarrow {BA}[/tex]
Let's tackle the problem!
At first we can write the components of vector A and vector B as follows.
[tex]\overrightarrow{A} = 4\widehat{i} + 2\widehat{j}[/tex]
[tex]\overrightarrow{B} = 1\widehat{i} - 1\widehat{j}[/tex]
[tex]\overrightarrow{C} = 0.5\overrightarrow{A} + 2\overrightarrow{B}[/tex]
[tex]\overrightarrow{C} = 0.5(4\widehat{i} + 2\widehat{j}) + 2(1\widehat{i} - 1\widehat{j})[/tex]
[tex]\overrightarrow{C} = 2\widehat{i} + 1\widehat{j} + 2\widehat{i} - 2\widehat{j}[/tex]
[tex]\large {\boxed {\overrightarrow{C} = 4\widehat{i} - 1\widehat{j}} }[/tex]
Vector C can be drawn as shown in the attachment.
Learn more
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://brainly.com/question/568302
- Magnitude of A Vector : https://brainly.com/question/2678571
Answer details
Grade: High School
Subject: Physics
Chapter: Vectors
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Vector , Scalar
