Vector A has a magnitude of 6.00 units and points dueeast. Vector B points due n

Question

Vector A has a magnitude of 6.00 units and points dueeast. Vector B points due north. (a) What is the magnitude ofB, if the vector A+B points 60.0o north of east? (b)Find the magnitude of A+B. Answer: (a) 10.4 units              (b) 12.0 units please show work. Vector A has a magnitude of 6.00 units and points dueeast. Vector B points due north. (a) What is the magnitude ofB, if the vector A+B points 60.0o north of east? (b)Find the magnitude of A+B. Answer: (a) 10.4 units              (b) 12.0 units please show work.

Explanation / Answer

Vector A: 6 units Due east (means angle is 0 degrees from x axis) x component: 6*cos(0)=6 y component: 6*sin(0)=0 Vector B b units Due north x component: 0 y component: b*sin(90)=b Resultant: We know x component is 6 and y component is b. We'll say c is the resultant magnitude c*cos(60)=6 c*sin(60)=b We have two equations. We solve the first: c=6/cos(60)=12 (Magnitude of c) b=c*sin(60)=10.4 (Magnitude of b) Always write down what you know first. You don't necessarily needto do the problems in the order they're given.

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