Let [(A)\vec] = 3  [^(i)] − 6  [^(j)] and [(B)\vec] = −6  [^(i)] + 2  [^(j)]. What is [(C)\vec] = [(A)\vec] − 4 [(B)\vec]? Give your answer as a magnitude and direciton.Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):

Let [(A)\vec] = (2, 37 °) and [(B)\vec] = (6, 269 °), where the angles are measured counterclockwise from the positive x-axis. What is [(C)\vec] = 4 [(A)\vec] + [(B)\vec]? Give your answer in component form.

Determine the magnitude of the vector: \\(\\begin{array}{l}\\vec{a}= 3\\hat{i}-2\\hat{j}+6\\hat{k}\\end{array} \\) Solution: Given vectorCompute the vector’s magnitude: 5i – 4j + 2k. Solution: Let the given vector be A. I.e., A = 5i – 4j + 2k. Here, the components x, y and z of vector A are 5, -4, and 2, respectively.Calculate the angle between two vectors: \\(\\begin{array}{l}\\hat{i}-2\\hat{j}+3\\hat{k}\\end{array} \\) \\(\\begin{array}{l}3\\hat{i}-2\\hat{j}+\\hat{k}\\end{array} \\)Calculate the projection on the vector. \\(\\begin{array}{l}\\hat{i}+ 3\\hat{j}+7\\hat{k}\\end{array} \\) on the vector. \\(\\begin{array}{l}7\\hat{i}-\\hat{j}+8\\hat{k}\\end{array} \\)Videos

Find the magnitude and direction angle of the following vector. Write your angle in degrees rounded to four decimal places.u=−7i−6j

Let⃗a = ˆi − ˆj + √2ˆk and⃗ b = −12ˆi + 5ˆja) Compute 3⃗a −⃗ bb) Find the unit vector in the direction of⃗ b.c) Compute the magnitude of⃗a .d) Find the direction angles (using the direction cosines) for⃗a .

What is the dot product between two vectors a=[1,0,3] and b=[−1,1,2]?[−1,0,6]57