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Magazine Problem 524
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). $$\langle 2,-5\rangle$$
Problem 525
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). $$\langle- 4,-6\rangle$$
Problem 526
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). Given \(u=3 i-4 j\) and \(v=-2 i+3 j,\) calculate \(u \cdot v\).
Problem 527
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). Given \(u=-i-j\) and \(v=i+5 j,\) calculate \(u \cdot v\).
Problem 528
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). Given \(u=\langle- 2,4\rangle\) and \( v=\langle- 3,1\rangle,\) calculate \(u \cdot v\).
Problem 529
For the following exercises, find the magnitude and direction of the vector, \(0 \leq \theta<2 \pi\). Given \(u=\langle- 1,6\rangle\) and \( v=\langle 6,-1\rangle,\) calculate \(u \cdot v\).
Problem 531
For the following exercises, given \(v, \quad \operatorname{draw} v, 3 v\) and \(\frac{1}{2} v\). $$\langle- 1,4\rangle$$
Problem 542
Given initial point \(P_{1}=(2,1)\) and terminal point \(P_{2}=(-1,2),\) write the vector \(v\) in terms of \(i\) and \(j,\) then draw the vector on the graph.
Problem 543
Given initial point \(P_{1}=(4,-1)\) and terminal point \(P_{2}=(-3,2),\) write the vector \(v\) in terms of \(i\) and \(j .\) Draw the points and the vector on the graph.
Problem 544
Given initial point \(P_{1}=(3,3)\) and terminal point \(P_{2}=(-3,3),\) write the vector \(v\) in terms of \(i\) and \(j .\) Draw the points and the vector on the graph.
