What is the angle in radians between the vectors a = (6, 8, -2) and b = (-7, 7, 0)? Angle: (radians)

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Find the angle 8 between the vectors. = (cos 57, sin 57), 4 0 = u ST), 54), v = (cos, sin ) 3 radians

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Create a question (using the Triangluar pyramid) related to vectors and then solve it. Don't make the question too easy or too hard. So make a question and solve it

A country is divided into three regions: regions A, B, and C. It's found that each year, one tenth of the people in region A move to region B and 1 tenths of the people in region A move to region C. Similarly, 5 tenths of the people in region B move to region A and two tenths of the the people in region B move to region C. Finally, one tenth of the people in region C move to region A and 1 tenths of them move to region B. What percentage of the population lives in each of the three regions after a long period of time? % live in region A, % live in region B, and ☐ % live in region C, Hint: if you're trying to solve Ax: = and the matrix A has fractions that you wish weren't there, you can multiply both sides of the matrix equation by a well-chosen number to make the problem simpler. (Note: you may still get fractions when doing Gaussian elimination but that's a different situation.)