[23] Consider the two vectors A = 3i-2j and B- M4j. Calculate (a) A+ B, (b)...
Two vectors A=3i - 4j and B= i + 2j- 5K start from a single point. Find: a) magnitude of A b) magnitude B c) A * B and d) the angle between them where vectors meet (Please show ALL steps. Thank you.)
Consider the three displacement vectors A = (3i - 3j) m, B = (i - 4j) m, and C = (2i + 5j) m. Use the component method to determine (a) the magnitude direction of the vector D = A + B + C and (b) the magnitude and direction of E = -A - B + C. A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At...
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
A hiker travels 2 km due east of his starting point. Then he travels 1 km northwest. Finally, he travels 3 km due north. How far is the hiker from his starting point after the 3 displacements and in what direction? Draw the three displacement vectors to scale and add them graphically Find the magnitude and direction of A, B and A + B for A = -4i – 7j and B = 3i – 2j . Describe the following...
4. Consider two vectors: A which has a magnitude of 28.0 m and points in a direction 15.0° above the positive x axis, and B which has a magnitude of 55.0 m and points in a direction 37.0° below the positive x axis. Sketclh the vectors AĂ, B, and the vector ČÄ +B. Find the magnitude and direction of vector Č (using the algebraic method)
Initials Given the following vectors A and B, A = 4i + 7j B-3i-6j, find the magnitude and direction for vector C- 5A-2B
Please answer all. The displacement vectors A and B shown in the figure below both have magnitudes of 3.70 m. The direction of vector A is θ = 38.5° (a) Find A B graphically magnitude direction o counterclockwise from the +x axis (b) Find A B graphically magnitude direction o counterclockwise from the +x axis (c) Find B A graphically magnitude direction o counterclockwise from the +x axis (d) Find A 2B graphically magnitude direction o counterclockwise from the +x...
Given the vectors: A = 3i - 4j, B = 5i +6j & C= -2i - 2j. Find the following: a) 2(A-C) + 3 B b) 3B -4C +A . A car traveling in a straight line with an initial velocity of 10 m/s accelerates at a rate of 4 m/sto a velocity of 30 m/s. a) How much time does it take for the car to reach the velocity of 30 m/s? b) What is the distance covered by...
Two vectors A = -3i + 4 - 2k and B = 5j + 2k act on an object. Determine: (a) the magnitude of A (b) the magnitude of B A.B (c) the angle between A and B
Multiple-Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 10.0 m, C = 13.0 m, and D = 26.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.