Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR P(1,-1,2), Q(2,0,-1), R(0,2,1) The area of the triangle is Choose the unit vector perpendicular to plane PQR. OA. √(¹+1) OC. (1+2j+ k) ***** (Type an exact answer, using radicals as needed.) 3.19 1 O D. √6¹2² √√6 OB. (7i+11j+ k) (2i+j+k)

Q: The figure below shows two vectors a and b in R³ that are in the xy-plane. Suppose ||a|| = 4, ||b||…

A: The figure of the vectors given is Suppose a=4,  b=3, and the angle between the two vectors is 50…

Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

A:

Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in…

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into…

Q: 2x + 5y -dA, where R is the parallelogram enclosed by the lines 6x-2y Find SSR R 2x + 5y = 0, 2x +…

A:

Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

A:

Q: Find the length and direction of (1, –4, –5). Length is Direction is

A: See attached file for a step by step explanation to find the length and the direction of vector.