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
Test 1 Version B Two vectors are given by A -3i + 5j-2k and B 4i + 6j +7k (a) Find A B (b) What is the angle between the vectors?
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.)
The forces F1={−6i+4j−2k}kN and F2={5i−5j−2k}kN act on the end of the beam. Replace these forces by an equivalent force and couple moment acting at point O.Determine the equivalent resultant couple moment about point O.
7. Two vectors are given as follows: | = -2i – 5j + 2k B = -41 – 23 – 3k (-2,-5,2% 2.4, 2, 37 What is the angle between the vectors? A. 114º B. 67° C. 41° D. 132° E. 94°
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
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 7i − 8j and B = 3i − 5j ° (b) A = −3i + 6j and B = 3i − 4j + 2k °
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 6i - 7j and B = 8i - 5j [17.33] (b) A = 3i + 3j and B = 3i - 4j + 2k (c) A = i - 2j + 2k and B = 3j + 4k
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
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...