Given vectors A = 3i -2j +k and B = 4i + 2j - 5k, find the angle between them. A car slows down from a speed of 60 mph to rest in 10 s, How far did it travel in that time?
#8 8. What is the cross product of the vectors A=-31 +3j -4k and B=4i +2j+k. What is the angle between A and B? 9. What is the scalar product of the vectors A= i +3j -2k and B= i +6j + 3k. What is the angle between A and B? 10. What is the scalar product of the vectors A= -31 +3j -4k and B=41 +2j+ k. What is the angle between A and B? 11. Find the area...
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.)
Answer SP3. Foure vectors A-3)-2k,B--31, C 41 + 2j, and D-A x B. Find the angle between C and D
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 charge of 2 coulombs is placed at the position 3i+2j-k and a charge of 3 coulombs is place at a position of 4i-2j+3k find the force between two charges? The force should be i the vector form.
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
3. If vectors A and B have magnitudes 12 and 15, respectively, and the angle between the two when they are drawn starting from the same point is 110°, what is the scalar product of these two vectors? 4. To vectors A and Bare given by A = 51+6/t7k and B-31-8j +2k. If these two vectors are drawn st the same point, what is the angle between them?
3. Consider the following vectors, where k is some real number. H-11 Lol 1-1 a. For what values of k are the vectors linearly independent? b. For what values of k are the vectors linearly dependent? c. What is the angle (in degrees) between u and v? 4. Here are two vectors in R". Let V = the span of {"v1r2} a. Find an orthogonal basis for V (the orthogonal complement of V). b. Find a vector that is neither...
For the following two vectors, A = -5 i + 7 j + 4 k and B = 8 i + 3 j – 7 k ; a. What is the scalar product, (give answers in both component form and magnitude/direction form)? b. What is the angle between them in the same plane? c. What is the vector product, (give answers in both component form and magnitude/direction form)?