Dot product 5. Given that the vector A- Ari A,j t A,k & the vector B-Bi...
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.
Simulation: Write a MIPS program which computes the vector dot product. Vector dot product involves calculations of two vectors. Let A and B be two vectors of length n. Their dot product is defined as: Dot Product-2.0 A(i): B(i) Where the result is stored in memory location DOTPROD. The first elements of each vector, A(0) and B(0), are stored at memory locations A_vec and B_vec, with the remaining elements in the following word locations Results: Put your MIPS code here...
Given M i2 j - 6 k and N -1-6j -5 k, calculate the vector product iM x N.
-5 m/s and v 3 m/s. The field is given by B- Bi+ Bi where B 2 T and By 4T. The charge on the electron is -1.6 x 10-19 C. What force F is exerted on the electron by the magnetic field? A) B) F-4(j-,51+k ) F 8(i+j+k ) D) F 3.2 x 1019 (6i-3j +5k) E) F 1.28 x 1018 (j-i k)
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)
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?
Please show steps: Two vectors are given as follows: 3. The vector dot product A-B equals: b) 10 a) -12 c) 14 d) 19 e) 20
Let u(t) =t^3 i + ln(t) j + e^2t k and v(t) = 1/t^3 i + 2 j + t k 2. Let u(t) - ti+In(t)j+ et k and Compute the derivative of the dot product f u(t)v() in two ways and confirm they agree: Compute the dot product u(t) v(t) first and then differentiate the result. . Alternatively, use the following "Dot Product Rule" u(t) v(t)] u'(t) v(t)+ u(t) v'(t) Aside: It's worth noting that there are other forms...
(1 point) Given the acceleration vector a(t) = (-4 cos (2t))i + (-4 sin (2t))j + (-3t) k , an initial velocity of v (0) =i+ k, and an initial position of r (0)=i+j+ k, compute: A. The velocity vector v (t) = j+ . B. The position vector r(t) = j+ k
Given the vector U=(4,3) and V=(1,-1) (a) Write U in terms of I, J (b) Find the exact magnitude of U (c) Find U+2V (d) Find the dot product, UV (e) Are U and V perpendicular? Explain in terms of the dot product