Question

Draw 2u + 4v. I NEED HELP LOLLLL

Answer 1

I literally just saw a question like this, but it won’t let me upload my photo, says the answer is incorrect

Answer 2

The expression
`\(2u + 4v\)` represents a linear combination of variables
`\(u\)` and
`\(v\),` indicating that the values of
`\(u\) and \(v\)` are scaled by 2 and 4, respectively. To visualize this, imagine a coordinate system where
`\(u\)` and
`\(v\)` are plotted. Draw vectors representing
`\(2u\) and \(4v\)` separately, then combine these vectors head-to-tail to get the resultant vector
`\(2u + 4v\).`

Step-by-step explanation:

The expression
`\(2u + 4v\)` involves scaling the variables
`\(u\) and \(v\)` by 2 and 4, respectively, and then combining them. To draw this expression, we'll first draw vectors for
`\(u\) and \(v\)` individually. Suppose the vector for
`\(u\)` points in a certain direction with a certain length, and the vector for
`\(v\)` does the same. The expression
`\(2u\)` means we take the vector for
`\(u\)` and double its length, and
`\(4v\)` means we take the vector for
`\(v\)` and quadruple its length.

Now, to represent
`\(2u + 4v\),` we place the tail of the vector for
`\(2u\)` at the head of the vector for
`\(4v\),` connecting them head-to-tail. The resultant vector starting from the origin and ending at the head of the last vector represents
`(2u + 4v\).` This process is a geometric interpretation of adding vectors.

Visualization:

Consider a coordinate plane where you have vectors representing
`\(2u\) and \(4v\)` originating from the origin. Connect the head of the first vector to the tail of the second vector, and the resultant vector represents
`\(2u + 4v\).` The specific direction and length of
`\(u\) and \(v\)` will determine the exact shape and orientation of the resultant vector.