006 10.0 points Find the vector ✓ with magnitude 3 and the same direction as ū=...
Find a unit vector in the direction ū if ū is the vector from P(2,1, -3) to ((-1,0,4). Then, find c such that vector PR is orthogonal to ū where Ręc, c,c).
Find a vector ū with |||| = 2758 that has the opposite direction to ū= -31 + -77. u=() a= (14)
3. If ū= 4.2,1 and ū= -2.2.1), find a vector in R3 that is orthogonal to both ū and . Answer: 4. Let A, B and C respectively denote the points (1,1,2), (-3, 2, 1) and (4, -2, -1). Find AB, AC and AB X AC. Answer: AB= AC = 1. AB X AC = 5. (a) Find the equation of the plane containing the points A, B and C above. Answer: (b) Check that your answer to (a) above...
11. (8 marks) Given the vector ū = (3,-2, -5) (a) Find the unit vector with direction opposite to ū (b) Find the vector component of ū orthogonal to ū = (-1,2, -3)
Find the vector v that has a magnitude OF 4 and is the same direction as u where u = (-3,-b}
7. Let 7 = (1,-1,-2), ū = (2,-1,1) and = (2,-2,-4). Find: (a) *(-20) (4 pts) (b) (+37). ū (4 pts) (c) The vector of magnitude 5 that points in the same direction as (4 pts). (d) The angle between 7 and ū (4 pts). (e) Find Projz() (4 pts).
3. A vector A has a magnitude of 58.0 m and points in a direction 22.0° below the negative x-axis. A second vector, B, has a magnitude of 90.0 m and points in a direction 54.0° below the negative x-axis. Using the component method, find the magnitude of the vector D - A - B x 75.7m 4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.10 km and a direction that makes...
3. A vector A has a magnitude of 48.0 m and points in a direction 22.0 below the negative x-axis. A second vector, B. has a magnitude of 76.0 m and points in a direction 46.0° below the negative x-axis. Using the component method, find the magnitude of the vector D A-B
3. A vector A has a magnitude of 58.0 m and points in a direction 24.0 below the negative x-axis. A second vector, B, has a magnitude of 82.0 m and points in a direction 55.0° below the positive x-axis. Using the component method, find the magnitude of the vector D-A B in
3. A vector A has a magnitude of 60.0 m and points in a direction 22.0° below the negative x-axis. A sccond vector, B, has a magnitude of 70.0 m and points in a direction 41.0 below the positive x-axis. Using the component method, find the magnitude of the vector D-A -B.