- 1 Find The Unit Vector Along The Line That Joins The Point 1 2 3 To The Point 4 4 2 2 Let A 4a 8a 2a B 1 (48.62 KiB) Viewed 60 times
- 1 Find The Unit Vector Along The Line That Joins The Point 1 2 3 To The Point 4 4 2 2 Let A 4a 8a 2a B 2 (32.98 KiB) Viewed 60 times
1. Find the unit vector along the line that joins the point (1,2,3) to the point (4,4,2). 2. Let A = 4a, + 8a, - -2a,, B = 6a, - -3a, and C = 2a, + ay + a₂. a) Determine A+2B b) Calculate A-5C c) For what values of k is |KB = 2? d) Find (A x B)/(AB) 3. If the position vectors of points T and S are a-4a+3a, and 6a, +9a, +4a, respectively, determine: a) The coordinates of Ty S b) The distance vector of Ta S c) The distance between T and S 4. Given A = xy²a - y²za, + yz²a,, determine: a) The magnitude of a at the point T (4,-1,2) b) The distance vector from T to S if S is 5.6 units from T and in the same direction as A in T. c) The position vector of S.
5. E and F are vector fields given by E = 3xa, + 2a,+ yza, and F = axa-3y²a, + 2xyza, determine: a) E at (3,4,5) b) The components of E along F at (-4,2,6) c) A vector perpendicular to both E and F at (0,1,-3) whose magnitude is unity