vector A = 4.5 i - 2.6 j + 1.4 k
vector B = 2.5 i + 1.2 j - 1.7 k
What is the vector A · B?
If FA = 1.4 kN i - 4.5 kN j and FB = - 2.3 kN i - 2.3 kN j, what is the magnitude of F = 9FA + 10FB ?
a) what vectors are designated by i, j, and k? b) if a vector is expressed as a sum of i, j, and k, how would you solve for the length of the vector? c) Write the formulas for the dot product and cross product for vectors A and B. d) Write out all possible cross products (nine combinations) for the vectors listed above in question a.
HOMEWORK 3 2.5-2.6 Problem 2.75 1 of 5 The spur gear is subjected to the two forces caused by contact with other gears.(Figure 1) Express Fi as a Cartesian vector Express your answer in terms of the unit vectors i, j, and k. F0,14.0,48.0 lb Submit Previous Answers Request Answer Figure X Incorrect; Try Again; 3 attempts remaining 1 of Part B 60P Express F2 as a Cartesian vector Express your answer in terms of the unit vectors i,j, and...
If vector a = +4 i(hat) - 8 j(hat)- 6 k (hat) and vector c = -4 i(hat) -2j( hat) - 3 k(hat), what will be the magnitude of vector a times vector c . (use Dot Product) Is the correct answer 18 or 28.91?
Dot product
5. Given that the vector A- Ari A,j t A,k & the vector B-Bi B i tBK Show that: A. B A B, A, B, A B
Verify if the vector ~u = 6xˆ i+(2y−y2)ˆ j+(6z−x3)ˆ k is (a) incompressible or (b) conservative
Part A Vector A--3.00 i + 3.00 j and vector -3.00 + 4.00 j. What is vector C-A + Β? 0.00 i +7.00 j -3.00 + 7.00 7.00i +7.00 j 3.00 i-3.00 j 0.00 i + 3.00 j Submit Request Answer
Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Low Moderate High Moderate Moderately Severe Severe 1.2...
Additional Problems: (HINT: It suffices to consider Just what happens (DX c A. Show by example that (a x b xc* a with i, j and k:) B. Find a vector which is perpendicular to every vector parallel to the plane z+y 0. C. Find the line which is the intersection of the planes x + y 0 and 3y-z = 0. D. Explain why the vectors in the following form describe a plane (where both t and s are...
An electron travels through the uniform magnetic field of field strength B = (2.5 i + 3.5 j ) mT and electric field of field strength 4.00 I V/M . If the electron is moving with the velocity v= (1500 j + 2000 k)m/s. Calculate the net force acting on the electron in terms of unit vector notation.