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?
Vector J has a magnitude of 3 and vector K has a magnitude of 7. They are separated by an angle of 9 degrees. Find the magnitude of the following: J * K (Dot product) J x K (Cross product)
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.
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)?
8. Find a vector perpendicular to both $22î +j+5k and 121 49 – 2j+k a)3î +79-6kb) 11î +18) - 8 c) 4 - 8ì+ỉ d)î +99 - 3Ã e) none of these
Given M 5 i +4- 3 k and N 6 i- 3 j - k, calculate the vector product M x N. 8 Review the definition of the cross product in term of components. i + Need Help? LReadIt 11 watch lt
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...
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
Given the following: B vector = B_0 alpha [(yzt omega)i^hat (xz omega t) j^hat + (y^2 t omega)k^hat], determine the electric field. Here B_0, and alpha are constants with proper units.
A displacement vector is given: r=(2.3m) i hat +(5.4m/s^2) t^2 j hat- (3.0m/s^3) t^3 z hat a. Find the displacement from t=0 s to t=3.0 s. b. Find the velocity vector. c. Find the average velocity from t = 0 s to t = 3.0 s. d. Find the acceleration vector.
6 ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...