Answer: Magnitude of wx is ![\sqrt{145}](https://tex.z-dn.net/?f=%5Csqrt%7B145%7D)
Step-by-step explanation:
Since we have given that
![w(-3,5,4)=-3\hat{i}+5\hat{j}+4\hat{k}\\\\x(9,5,3)=9\hat{i}+5\hat{j}+3\hat{k}](https://tex.z-dn.net/?f=w%28-3%2C5%2C4%29%3D-3%5Chat%7Bi%7D%2B5%5Chat%7Bj%7D%2B4%5Chat%7Bk%7D%5C%5C%5C%5Cx%289%2C5%2C3%29%3D9%5Chat%7Bi%7D%2B5%5Chat%7Bj%7D%2B3%5Chat%7Bk%7D)
Now, first we will find 'wx':
![wx=Initial-Final\\\\wx=(9+3)\hat{i}+(5-5)\hat{j}+(3-4)\hat{k}\\\\wx=12\hat{i}-1\hat{k}](https://tex.z-dn.net/?f=wx%3DInitial-Final%5C%5C%5C%5Cwx%3D%289%2B3%29%5Chat%7Bi%7D%2B%285-5%29%5Chat%7Bj%7D%2B%283-4%29%5Chat%7Bk%7D%5C%5C%5C%5Cwx%3D12%5Chat%7Bi%7D-1%5Chat%7Bk%7D)
We need to find the "magnitude":
![\mid wx\mid=\sqrt{12^2+1^2}=\sqrt{144+1}=\sqrt{145}](https://tex.z-dn.net/?f=%5Cmid%20wx%5Cmid%3D%5Csqrt%7B12%5E2%2B1%5E2%7D%3D%5Csqrt%7B144%2B1%7D%3D%5Csqrt%7B145%7D)
Hence, Magnitude of wx is ![\sqrt{145}](https://tex.z-dn.net/?f=%5Csqrt%7B145%7D)
Answer:
Option B is correct
Step-by-step explanation:
Option B is correct
5t/3-2/3*(t+4)=1
5t/3-2t/3+8/3=1
3t/3+8/3=1
8/3-1=t
8/3-3/3=t
5/3=t