Maligayang pagdating sa Imhr.ca, kung saan maaari kang makakuha ng mga sagot mula sa mga eksperto nang mabilis at tumpak. Kumuha ng detalyado at eksaktong mga sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming Q&A platform. Tuklasin ang komprehensibong mga solusyon sa iyong mga tanong mula sa mga bihasang propesyonal sa iba't ibang larangan sa aming platform.

Subject: Vector Subtraction
Problem: Find B-A for the following cases: (a) A = 6 units E and B = 4 units W, and (b) A = 7.0 m 60 degrees N of E and B = 5.0 m E.

Sagot :

kaius
Note that B - A is just equal to B + (-A). A. Since the 2 vectors are in two opposite directions, we write: 4 u + (-6 u) = - 2 u. B. This one is quite tricky. Since I am not that expert in using the tip-to-tail method, I will use the component method. We first solve the components of the vectors: B: (x: 5 m) and (y: 0 m) and for -A: (*note: since we have an opposite direction, the vector will now have an angle of 60° + 180° = 240° and the new direction would be S of W) (x: 7.0cos240°) and (y: 7.0cos240°). Then subtract the components to get the components of the resultant vector: (x: 5m - 7.0cos240° = 8.5 m) and (y: 0 - 7.0sin240° = 6.06 m). Then we now solve the resultant by: R = sqrt ((8.5)^2 + (6.06)^2) = 10.45 m. For the angle, we solve: theta = arctan (6.06m / 8.5m) = 35.44°. So the final answer is: 10.45, 35.44° N of E.