Draw the vector C⃗ =0.5A⃗ +2B⃗ .
To draw the vector C⃗ = 0.5A⃗ + 2B⃗, we need to know the directions and magnitudes of vectors A⃗ and B⃗.
1. Start by drawing vector A⃗. Choose a point on the paper to represent the starting point, and draw the vector in the desired direction. The length of the vector should correspond to the magnitude of A⃗.
2. Next, draw vector B⃗. Again, choose a point on the paper to represent the starting point of B⃗, and draw the vector in the desired direction. The length of the vector should correspond to the magnitude of B⃗.
3. Now, we need to find the resultant vector C⃗ = 0.5A⃗ + 2B⃗. To do this, start from the initial point of A⃗ and draw a vector in the direction of A⃗ with a length that is half of the magnitude of A⃗.
4. Next, start from the initial point of B⃗ and draw a vector in the direction of B⃗ with a length that is twice the magnitude of B⃗.
5. Finally, connect the end point of the first vector (0.5A⃗) to the end point of the second vector (2B⃗). This line represents the resultant vector C⃗.
Remember to label the vectors, A⃗, B⃗, and C⃗, and include any required units or scales on your drawing.