(1 point) Find a non-zero vector x perpendicular to the vectors ✓ : 2 and ū...
(1 point) Find a non-zero vector x perpendicular to the vectors 1 3 -10 ✓= and ủ -3 2 2 =
(1 point) Find a nonzero vector x perpendicular to the vectors u=17 | and u 0 -16 -6
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a unit vector in the opposite direction to ū. c) Find (ü.v)v. d) Find 11: e) Find the distance between ū and v. f) Are ū and y parallel, perpendicular, or neither? Explain. g) Verify the Triangle Inequality for ū and ū.
(1 point) Let Find a basis of the subspace of R4 consisting of all vectors perpendicular to ū.
1. We are given the following vectors: ū = (x,0,4), ū = (2,1,1) a) What does the value of x need to be so that the vectors ū and ū are perpendicular? Explain your reasoning. (5 pts.) b) Calculate the cross product p = ū xū and find the magnitude of p. (5 pts.) c) Calculate the cross product q = ū xū and find the magnitude of q: (5 pts.) d) Compare the magnitude of p with the magnitude...
1. (1 point) Find two vectors vi and v2 whose sum is (-3,0), where Vi is parallel to(-2,-4) while v2 is perpendicular to-2,-4) and Answer(s) submitted: (incorrect) 2. (1 point) Find the angle θ between the vectors a- 10i -j- 5k and b 2i+j- 21k Answer (in radians): θ Answer(s) submitted: (incorrect) 3. (1 point) Find a vector a that has the same direction as -6,5,6) but has length 3. Answer: a Answer(s) submitted: (incorrect) 4. (1 point) Suppose we...
7. Find the angle between the vectors. ü = (-3,2) and v = (-1,1) e perpendicular. 112 - at 4. Find the vector v such that. ||3|| = 9 and having the same direction as ū. ū=(3,-2)
Let's examine the following vectors: ūj = (6,8), ū2 = (5,6) ū = (4, 2, 4) ñ 1 = (7, 3, 1, 3) ja W2 = (7,5, 1, 10). 1. Define vector norms, i.e. lengths. 2. Specify a vector of length 1 and which is parallel to the vector v 3. Find a vector that is perpendicular to the vector Új
(1 point) Among all unit vectors ū = co - y in R', find the one for which the sum x + 6y + 4z is minimal. es tenen can be wen
1. We are given the following vectors: ū= (x,0,4), ů = (2,1,1) a) What does the value of x need to be so that the vectors ū and ï are perpendicular? Explain your reasoning. (5 pts.) b) Calculate the cross product p = ūxy and find the magnitude of p. (5 pts.) c) Calculate the cross product a = xū and find the magnitude of 9. (5 pts.) d) Compare the magnitude of p with the magnitude of g. In...