(1 point) Find a non-zero vector x perpendicular to the vectors 1 3 -10 ✓= and...
(1 point) Find a non-zero vector x perpendicular to the vectors ✓ : 2 and ū -4 -2 =
(1 point) Find a nonzero vector x perpendicular to the vectors u=17 | and u 0 -16 -6
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...
-10 0] (1 point) Find a non-zero 2 x 2 matrix A such that A2
Question 5 Find the unit vector perpendicular to each of the vectors 2i-j + k and 3计4f-k, where i,j, k are the mutually perpendicular unit vectors. Calculate the sine of the angle between the two vectors.
Vector (Cross) Product 1. Find the vector product (2j-2k) x 5k. Sketch all three vectors onto the coordinate system below Answer: 10 Find the vector product of i+4j-3k and -2i+j-5k. Prove that your answer is perpendicular to the first two vectors by using the dot product Answer: -17i+11j+9k or 17i-11j-9k, depending on the order in which you took the cross product. 2.
(1 point) Let -6 -12 9-161 A=14 6-6 Find a non-zero vector in the column space of A. (1 point) Let -6 -12 9-161 A=14 6-6 Find a non-zero vector in the column space of A.
Say that A is a 3 x 3 matrix and that there are non-zero vectors x, y and z with Ac = e. Ay = -2y , and Az = 0 Which of the following statements must be true? Select only one answer A is neither invertible nor diagonalizable. Ais diagonalizable but is not invertible. A is invertible but is not diagonalizable. A is invertible and diagonalizable.
P6. Find the vector electric field at a point on the perpendicular bisector of a thin rod of length L with non-uniform charge density λ = 4x
Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent and a non- zero vector z in R4 so that {u, v, z} is linearly dependent: 1-3 8 -8 -2 u = V= 5 -4 10 0 w=0 1- z=0 0