Let A = 3i + 4j and B = 5i ¡ 6j.
(i) Find A + B, A ¡ B, 2A + 3B, and C such that A + B + C = 0:
(ii) Find A, the length of A and the angle it makes with the x-axis.
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...
Given two vector A=5i+4j and B=3i-4j A: Draw each vector in a vector diagram. B: Find the magnitude of each vector. C: Express vector c=3A-1/3B in terms of unit vectors D: Calculate the magnitude and direction of vector C
8. Given the vectors: A 3i -4j & Bi+ 6j, a) Graph vector A & vector B on the same coordinate system b) Find the scalar product A.B c) Find the magnitude of vector A d) Find the magnitude of vector B- e) Find the angle between vector A & vector B
12. The system consists of the force and couple F =3i+6j+ 2k (N), M=12i + 4j +6k (N-m) Represent it by a wrench, and determine where the line of action of thewrench's force intersects the x-z plane. M
12. The system consists of the force and couple F =3i+6j+ 2k (N), M=12i + 4j +6k (N-m) Represent it by a wrench, and determine where the line of action of thewrench's force intersects the x-z plane. M
Consider the two vectors, A and B. À = 5i + 3j B = -2î+4j Answer the two questions below, using three significant figures. Part A: What angle (0) does the vector A make with the x-axis? 0 = deg Part B: If the vector C is such that C = A + B, what is the magnitude of C?
Let u = 5i - j, v = 41+ j, and w=i+6j. Find the specified scalar. u.V+U.W u•v+u•w= (Simplify your answer.) Enter your answer in the answer box. Save for Later < Previous
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
Given v1-41 + 6j, v2=3i-2ј, v.--61 +4j. Answer each of the following questions: c. A unit vector in the same direction as v.
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.)
A = 52 – 3i | 0 Ti 0 9+i 0 2+ i] C-5i 0 Find the entry in row 3, column 3 of A-1.(i.e., if B = A-1, find b22.). Note: The value of c in the above matrix is not given.