Q: Every vector can be numerically represented in the Cartesian coordinate system with a horizontal (x-axis) and vertical (y-axis) component. It is written as an ordered pair v=<x,y>{\displaystyle v=<x,y>}. For example, the vector above has a horizontal component of 3 and a vertical component of -5, therefore the ordered pair is <3, -5>. When you draw the horizontal and vertical components, you end up with a right triangle. The magnitude of the vector is equal to the hypotenuse of the triangle so you can use the Pythagorean theorem to calculate it. The Pythagorean theorem is A2 + B2 = C2. "A" and "B" are the horizontal and vertical components of the triangle while "C" is the hypotenuse. Since the vector is the hypotenuse you want to solve for "C". x2 + y2 = v2 v = (x2 + y2)) Using the equation above, you can plug in the numbers of the ordered pair of the vector to solve for the magnitude. For example, v = ((32+(-5)2)) v =(9 + 25) = 34 = 5.831 Don't worry if your answer is not a whole number. Vector magnitudes can be decimals.
A: Determine the components of the vector. Draw a vector triangle. Rearrange the Pythagorean theorem to calculate the magnitude. Solve for the magnitude.

Q: Your shoulders should be back, but not raised, and your chin should be parallel with the floor. Keep your feet shoulder width apart and your knees loose instead of locked. Your chest shouldn't be puffed out, but it should be naturally lifted so your belly can expand. Proper posture will allow you to fill your lower lungs with air. When most people breathe, they just fill up their upper lungs. Breathe in slowly through your nose as you count to 4. Hold your hand on your belly to make sure it expands and fills with air. When you've finished inhaling, hold your breath for a 4 count. Your chest shouldn't puff out and your shoulders shouldn't rise as you inhale. As your belly gets round and your lungs fill with air, your lower ribs should expand outward, but don't let your chest and shoulders rise into a shrug. After counting to 4 as you hold your breath, breathe out by flexing your abdominal muscles. Try to exhale evenly for a 4 count. Instead of blowing out lots of air at first, try to exhale in a steady stream.
A: Stand up straight with your shoulders back. Inhale through your nose and fill your belly with air. Keep your upper chest and shoulders still as you inhale. Count to 4 as you exhale through your mouth.

Q: There are a number of different rat poisons on the market, but they generally all work by preventing the rats' blood from clotting. You'll need to read the label on your poison carefully in case there are any specific instructions that you need to follow. Store the poison on a high shelf away from children and pets, and make sure it's clearly labelled. If you use poison outside, it must be labeled for outdoor use. Bait boxes are small boxes that are designed with small entryways that are only big enough for rats and other small rodents to enter. This can help protect larger animals and children from ingesting the poison, although you should never place rat poison near areas where children might play. Some commercial poisons come already contained in bait boxes. If the one you choose doesn't, you'll need to buy the box separately. You can find these wherever pest control products are sold. Look for secure, hidden spots around your apartment building where rats are likely to hide. If you see anywhere that has rat trails, nests, or feces, place a bait box there. Other good places include behind or under appliances, walls, and pipes, or inside a rat hole, if you've found one. If you're an apartment manager or maintenance person, notify the residents of your apartment complex where you've placed these poisons. Check with the manager before you put out poison if you're a resident. You must continuously feed the rats the poison for at least six days in order for it to be fully effective. Keep in mind that rats can become tolerant to poisons, so don't stop the poison early. You may also want to try different poisons if you do more than one treatment. Rats will not eat spoiled bait, so make sure you keep it fresh. If you have any remaining poison once your rat problem is under control, follow the directions on the packaging for disposal. Don't just throw the poison away, as this can harm other people, pets, or animals if they accidentally come in contact with it. Rats can build a tolerance to the poison, so if you have a serious rat problem, treat for about a month at a time. Take a break between treatment cycles to ensure that the rats don't become immune to the poison. You can try other treatment methods between poisonings.
A: Use a poison designed specifically for rats. Place the poison inside bait boxes. Set the bait boxes where you think the rats will be. Replace the poison daily for 5-10 days. Dispose of extra poison. Skip a month between treatments.

Q: Oftentimes, loneliness stems from the thought that your own experience is drastically different from that of others. But we all experience the same emotions, from joy and love to disappointment and anger. Consider how the human experience is universal. If you're feeling lonely, it can help to have a brief conversation with the grocery store clerk or the bank teller. This will help you feel a connection with someone, even if you don't have a lengthy conversation with this person. Even a simple act like saying hello to your neighbor can help you feel more connected. This might even be the impetus you need to start a conversation that will result in a lifelong friendship. You might feel lonely because you're shy or because you're new to a school. One of the ways to overcome loneliness is to be brave and take a risk. Put yourself out there by starting a conversation with someone who seems interesting. Or, ask an acquaintance if they'd like to go on a hike with you. You never know. This person might feel just as lonely as you and might appreciate your invitation. You may feel lonely because you have specialized interests. Perhaps you're really into mountain biking, but you don't know anyone else who does this too. Search online for a club in your community that does this activity. If you can't find someone in your local area, chances are you will be able to locate a group that gathers virtually. When you feel lonely, you tend to focus on your own feelings and how your needs are not being met. If you turn your attention to the needs of others, you can redirect your emotions. Find a nonprofit organization in your community. You can volunteer at an animal shelter, for example.
A:
Think about the similarities between you and others. Make small-talk with people you interact with. Put yourself out there. Connect with people with similar interests. Volunteer in your community.