Exercises 1-4: Use the graphical representation of v to complete the following. (a) Estimate integer values for components a, and a₂ so- that v = (a₁, a₂). (b) Calculate |v||. 1. -2 2 -4 2 2. V -4 y X
Exercises 1-4: Use the graphical representation of v to complete the following. (a) Estimate integer values for components a, and a₂ so- that v = (a₁, a₂). (b) Calculate |v||. 1. -2 2 -4 2 2. V -4 y X
Transcribed Image Text:**Exercises 1–4: Use the graphical representation of vector \(\mathbf{v}\) to complete the following.**
(a) Estimate integer values for components \(a_1\) and \(a_2\) so that \(\mathbf{v} = \langle a_1, a_2 \rangle\).
(b) Calculate \(\|\mathbf{v}\|\).
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**1. Diagram Description:**
- A Cartesian coordinate plane is shown with the \(x\) and \(y\) axes labeled.
- The vector \(\mathbf{v}\) is drawn as an arrow starting at the origin \((0, 0)\) and ending at the point \((2, 2)\).
- The \(x\) and \(y\) coordinates are marked with dashed grid lines that aid in estimating the vector components.
**2. Diagram Description:**
- Another Cartesian coordinate plane is displayed.
- The vector \(\mathbf{v}\) is illustrated as an arrow beginning at the origin \((0, 0)\) and ending at the point \((-4, -4)\).
- The axes have dashed grid lines, which help in determining the vector's components.
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