All points with coordinates x= rcos(0) and y = sin(0), where r is a constant, lie on a circle with radius r, i. e. they satisfy the equation x+ y = r2. a) Create a column vector for 0 with the values 0, TT/4, T/2, 3T/4, T, and 5TT/4. b) Take r =2 and compute the column vectors x and c) y. d) Now check that x and y indeed satisfy the equation of a circle, by computing the radius r= V+ y².

Q: find the angles between the vectors:x+y=1,2x+y-2z=2

A:

Q: The unit vector which is perpendicular to both r1=8ax+3ay- 2az , r2=2ax+7ay-6az is equal to

A: Given, vectors arer1=8ax+3ay-2az, r2=2ax+7ay-6azThe unit vector perpendicular to both vectorsr1, r2…

Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

A:

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: 8) An airplane is on a heading of 065° at 350 km/h and an 75 km/h wind is blowing from 310⁰.…

A: 0

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

A:

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to solve given Questions.

Q: Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5…

A: A) It is given that vector A  has a magnitude of 2.5 ms at a direction of 18° and vector B has a…

Q: ren vector A = -3î + 4j and B = i + 2j. Find vector V where magnitude is 3 and the vector is allel…

A: Parallel vector and magnitude is 3

Q: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: Find the angle between the vectors r = (-1, 2) and s = (4, 2)

A:

Q: Q5) Given points A (10, -3, 4) and B(-4, 3, 5), find: a. The distance from A to B. b. A unit vector…

A:

Q: A vector with initial point at the origin and the terminal point on a unit circle can be written in…

A: Let A and B are the initial and terminal point if a vector then the representation of the…

Q: Given vectorsu = (1,3) and v (0. -3), find u

A: Given vectors are The vector u.v is evaluated as follows

Q: Given the points X (1,2,-1)  and  Y (0,3,-2), find a vector collinear with  XY  having opposite…

A:

Q: a) Find Ivl if v = -7i - 6j. Give exact value. b) Graph the vector v in the coordinate plane.

A: Solve the following

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: