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Vcrtices and Kol 4 AbC are ort bunk ul A vercx on the opposile bunk The distance belween thc two Vunces 200 leet Angle Ius MChsuc 0i 330 and angle Bhas Mcusun 630 (...

Question

Vcrtices and Kol 4 AbC are ort bunk ul A vercx on the opposile bunk The distance belween thc two Vunces 200 leet Angle Ius MChsuc 0i 330 and angle Bhas Mcusun 630 (Round MAns whole nurubcr )Firid200"168 h0 179 6

Vcrtices and Kol 4 AbC are ort bunk ul A vercx on the opposile bunk The distance belween thc two Vunces 200 leet Angle Ius MChsuc 0i 330 and angle Bhas Mcusun 630 (Round MAns whole nurubcr ) Firid 200" 168 h 0 179 6



Answers

The corrcct decrcasing orelcr of hond angles is (a) $\mathrm{ClF}_{3}>\mathrm{PF}_{3}>\mathrm{NF}_{3}>\mathrm{BF}_{3}$ (b) $\mathrm{BF}_{3}>\mathrm{PF}_{3}>\mathrm{NF}_{3}>\mathrm{ClF}_{5}$ (c) $\mathrm{BF}_{s}>\mathrm{NF}_{3}>\mathrm{PF}_{3}>\mathrm{ClF}_{3}$ (d) $\mathrm{BF}_{3}>\mathrm{CIF}_{3}>\mathrm{PF}_{3}>\mathrm{NF}_{3}$

So let's put this first. We have Guillette Negative three negative 4123 on 234 That's approximately where Jesus. And then we have eight at one one. And let's check this out. How many units to the right? Does it go to get there? Goes 123 four. How many units down? 123 It's four three to go here. That's at each. Then we also have J at three. Negative five, so find that out. So let's work backwards. Let's go up. Three. Form 23 Let's go to the left. Four one to you. 34 She leaves us here. Negative one Negative too. And that is going to be our final answer, which is C.

Next, the same portion. When you find out the distance between we have here in center and circumstances. Fine questions here. So what we can do here first, we'll find out here, uh just go for it does in center heavy has to take over our triangle B. Heidi. So this angle will be over two. So we get caught the overtook that has given us Bt over us. We get beat equals R. Bug be over to stand guard here. Next we will take here. Yeah. Mhm. And so we go from here. Triangle B O. Is the idea, is that fine really to find B. And then subtract to get oh, I probably triangle B, Triangle B. Or mm we will have another angle here. We'll just take the engine. No, for this angle with english E. So tangent mm but it will be over on. So we have gps uh, engine. Mm It's been a good idea. So now we have here, Oh, I've or by now has given us be negative baby. So we even have our engine E negative. We had building it is our court be over to. So in the spectral chair. So we get our time standing negative thought be over to it. That is even an option eight. Thank you.

In the Cuban fusion B. D. Is perpendicular to the sea. And if he is parallel to Katie, A B is parallel to Katie. And we need to find the multiplication of triangle abc and triangle bdK this B D. K. This strangle and the complete triangle abc from the given figure, we can say that the coordinates of the dri will be to coma zero will be to coma zero. So we can write area of triangle abc will be equal to have based into height. Base is three. Height is Height is one, so it will be equal to three x 2 square units. Let's suppose this execution first. Now we need to find the area of triangle BdK in order to find the area of triangle BdK first we need to find the coordinates of point K. So slope of baby first the right slope off A. B. That will be equal to y tu minus y. You and divide X two minus x 11 minus zero, divide to minus zero. That will be equal to one by two. So the slope of KD will be won by two. Also because both baby and Katie are in parallel. So we can write equation equation of Katie, that can be written as why minus Y. You want equal to M x minus x one. Put the values here, Katie is passing through the point D. So this is why minus zero equal to M. Have x minus two. So from here we can write two, Y minus X plus two equal to zero. This is a question first. Now equation of busy equation of B. C. We can write us why minus? Why? When equal to I am x minus x one so y minus Y was equal to M x minus x one. So from here put the values Y one is zero, so M will be Y tu minus Y one, divide extra minus x one. There's one minus zero, divide two minus 31 minus zero, divide two minus three. And ex the x coordinate is three x minus three. From here we can right Y plus x minus three equal to zero. This is a question second from equation first and equation second from equation equation first and equation second. We can write the values of X and y X will be equal to eight by three and Y B one by three. So the coordinates of point K will be eight by three, coma one by three. Now we can easily find This is eight x 3, Coma won by three. Now we can find the area area of a triangle B. D K. That will be equal to hub. We can write it as 211 2018 by 31 by 31. If you solve this determinant then we get one by three. Now the multiplication of both. The areas will be so area of area of abc multiply area of a triangle B DK will be equal to one by three. Multiply three by two. That will be equal to one by two. So in the given options, option B will be the correct answer.

Three displacements. We can write them each descend one equaling the magnitude of the displacement multiplied by co sign of status of one. All right hat plus sign of fate, us of one j hat. And so this is gonna be giving us 5.0 meters multiplied by co sign of 30 degrees. I had a plus sign of 30 degrees j hat and so the first displacement vector is giving us 4.33 meters. I hat plus 2.50 meters J hat now for a decent too. This is giving us the magnitude of the displacement multiplied by co sign of 180 degrees, minus another plus status of one minus status of two. I had plus sign of 180 degrees plus status of one minus fate a sub too Jay had. And so the second displacement is written as 8.0 meters multiplied by co sign of 160 degrees I happed plus sign of 160 degrees j hat. And so this is giving us negative 7.52 meters. I got plus 2.74 meters. J hat and finally for decent three. This is equaling the magnitude decent three multiplied by co sign of 360 degrees minus status of three minus status of two plus status of one. I had a plus sign of 360 degrees again minus latest sub three minus status of two plus fate of someone. And this will be J hat. Ah, close bracket and weaken now, simply substitute. So this would be equaling 12.0 meters multiplied by co sign of 260 degrees. I hat plus sign of 260 degrees J hat. And so this is giving us negative 2.8 meters. I had minus 11.8 meters J hat. And so the measure. The angles are measured from the positive X axis, of course. And so the net displacement is gonna be equaling two. The sum of all three. So we have negative 5.27 meters. I had minus 6.58 meters. Jay had so the mag for part a. The magnitude of the net displacement would be equal in the square root of negative 5.27 meters squared plus negative 6.58 meters quantity squared and this is giving us 8.43 meters. This would be your answer for a part. Ay and then for part B to find the direction we would have stayed a equaling are tan of the why component divided by the X component. And this is giving us 50 1.3 degrees or 231 degrees now because we have a negative X and a negative. Why we're actually placed in the third quadrant so essentially fade as equaling 231 degrees. That's the answer that we want in orders to play it. The place us in Quadrant three. This would be our final answer for part B and R Answer for part A. That is the end of the solution. Thank you for watching


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