Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(-1,1, - 2), Q(-2,0,1), R(0, - 2, -1)

Consider two vectors, A, which points along the +x direction with a magnitude of 3 units andvector B, which points 20o from the +y axis with a magnitude of 4 units as shown in Figure 1.a) Find the magnitude of the vector, B − A.b) Find the vector C so that A + B + C = 0.

Consider the three displacement vectors A = (4î – 3ĵ) m, B (2î – 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector = A +B + C. magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m direction -45 ° counterclockwise from the +x axis (b) The magnitude and direction of E A -B +C. %3D magnitude Be very careful with the signs of the components. Remember that -A means to replace each component of A with the negative of its value. m direction ° counterclockwise from the +x axis

Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj „ . a) The angle between i and ỹ

What is the angle θDθD​formed by D⃗ (from the picture) and the +x+xaxis? Use counterclockwise to denote positive angles. Answer with 2 significant figures.

Two vectors %3D 2 and B = 2 + 3 . Find the approximate angle between the vectors (-3 A ) and (2 )? .A None .B 30° .C 60°

a. The two parallel lines (1, m) drawn below ate intersected by a third line. If angle 1 is 20 degrees, what are the values of the other angles 2, 3, 4, 5, 6, 7? 4 7/2 5 6 b. Given the geometry shown below, what is the value of the angle a? α 35° 00

Please Help me

solve for the cylindrical and spherical coordinates of vector N=24i-2j+9k and show the illustration of the graph of spherical and cylindrical.

Consider vectors  a = (3, −12) b = (−1, 4)and  c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.