Calc 2: Please answer question 12 and 13 only. 7. Consider the vectors a = and b
ID: 2852926 • Letter: C
Question
Calc 2: Please answer question 12 and 13 only.
7. Consider the vectors a = and b =. (a) 3a + 2b = (b) 4b-3a= (c) lal= (d) |b| = (e) Find a unit vector in the same direction as a. (f) Find a unit vector in the same direction as b. (g) a,b= (h) Find the cosine of the angle between a and b (you do not have to find the angle). (i) a × b= (j) bxa= 8. Consider the vectors v = and w = (a) Find two unit vectors orthogonal to both v and w. (b) Determine whether v and w are orthogonal or parallel (c) w,(v×1) = (d) v,(j× w)= 9. If (4,3) is rectangular coordinates convert this to polar coordinates. 10. Convert the polar point (-2, /3) to rectangular coordinates. 11. Sketch the curve given by the parametric equations-sin(2t), y = cos(t) for t E [0, 12. Represent the circle with center (0,0) and radius of 2 by 2 (a) polar equation(s) (b) rectangular equation(s) (c) parametric equation(s) 13. Repeat the previous question for a circle centered at (0,4) with radius 4. 14. Sketch the curve r = 15. Convert the equation 22 + 2y2to polar form and write it as r f(0). Sketch it.Explanation / Answer
As per multiple question rules, we are supposed to answer single question.
(12)