Find by drawing the resultant of two vectors 3 units and 4 unit inclined to each other at 30,90,20
Working and the diagram
two vectors can only involve one angle.
So what's the 30,90,30 supposed to mean?
in any case, use the law of cosines to find the magnitude,
then use the law of sines to find the angle
But i need the solving pls
To find the resultant of two vectors, we need to draw them according to their given magnitudes and directions. Since the two vectors are inclined to each other at different angles, we need to draw them one by one and then combine them.
Let's start with the first vector, which has a magnitude of 3 units and is inclined at an angle of 30 degrees. To draw this vector, follow these steps:
1. Start by drawing a reference line (x-axis) in a horizontal direction.
2. From the starting point of the reference line, draw a line segment in the direction of the angle given (30 degrees) and with a length representing the magnitude given for the vector (3 units).
3. Label the endpoint of this line segment as vector A.
Next, let's draw the second vector, which has a magnitude of 4 units and is inclined at an angle of 90 degrees. To draw this vector, follow these steps:
1. Start from the endpoint of vector A (the tail of the second vector should be at the endpoint of the first vector).
2. Draw a line segment vertically upwards for the given magnitude of 4 units.
3. Label the endpoint of this line segment as vector B.
Now, we have both vectors drawn on the same coordinate system. To find their resultant, we can use the graphical method of vector addition, also known as the tip-to-tail method. Follow these steps:
1. Start from the starting point of vector A (origin of the coordinate system).
2. Draw a line segment from the starting point (origin) towards the endpoint of vector B. This line segment represents the resultant vector.
3. Label the endpoint of this line segment as the resultant vector, R.
The length and direction of the resultant vector can be measured or determined from the graph.
Therefore, by drawing the two vectors with their respective magnitudes and directions and using the tip-to-tail method, we can find the resultant vector.