Can some one help me solved this

Choose one . 4 points What are the magnitude and normalized vector , u = U . of v=(1,2,2) ? HO U C D 0:00 / 2:50 (10) 1X O 31 =3,0= 1 2 2 3'3'3 O |0| =5,0= 5'5'5 O =0'6=1211 12 2 9'9'9QUESTION 18 Inconsistent System of linear Equations Choose one . 4 points Identify the inconsistency system of linear equations + y 21 3y 6 U + 2z + 3y 2 =5 T 8z 0 Oz = 0 By = 0 Oz 4 QUESTION 19 Linear Combination Choose one . 4 points Identify the linear combination of w = (3,4) in term of u = (1,0) and u = (0, 2) O w =3u+ v w =3u -20 w = 3u + 20QUESTION 20 Linear Independence Choose one . 4 points Which two vectors are linearly independent ? O a = (1, 1) and b = (4, 3) O a = (1,3) and b = (2, 6) O a = (2,3) and b = (0, 0) QUESTION 21 Linear Dependence Choose one . 4 points Which vectors are linearly dependent ? O a = (1,2) and b = (2, 3) O a = (1, 1) and b = (4, 4) O a = (1,2) and b = (2, 5)QUESTION 22 Basis of a Vector Space Choose one . 4 points Which vectors form a basis for the given set 12 O a = (1, 1) and b = (3,4) for 1R2 O a = (6,4) and b = (12, 8) for IR2 O a = (1,5) and b = (0, 0) for IR2 QUESTION 23 Dimension of a Vector Space Choose one . 4 points What is the dimension of the basis { a, b, c } = {(1, 1, 0), (1, 2, 1), (1, 1, 1)} O dim(B)=2 O dim(B)=3 O dim(B)=1QUESTION 24.1 Inner Product of Vectors Choose one . 4 points If a = (2, 0, -1) and b= (1,2, -1) , compute their inner product (a, b) O O ( a, 6) -3 O (a, B) =0 QUESTION 24.2 Inner Product as an Integral of two Functions Choose one . 4 points Given f(I) = I and g(I) = 3x + 2 with inner product (f, g) = fo f(x)g(x)di , find (f, g) O ( f ,9 ) = 0 O (f,g) =1 O (f, g) = 2QUESTION 2 Parallel Vectors Choose one . 4 points Which of the two vectors p and q are parallel ? p = (2, 7, 1) and q = (0, 14, 2) O p= (6, 9, 15) and q = (2, 3, 5) O p = (1, 6, 4) and q = (0, 3, 2) QUESTION 3 Building a Vector From two Vertices(points) Choose one . 4 points Find the vector between the vertices A = (1, 1, 0) . B - (2, 1, 1) and their distance | |ABI| O AB = (3, 2, 1) and |AB = V14 O AB = (-1,0, -1) and AB = V2 O AB = (1, 0, 1) and |AB = V2QUESTION 4 Vectors Addition Choose one . 4 points Given the following vectors a = (2, 0, 1) and b = (1, 2, 1). calculate -2a + 3b O 2a + 3b = (0, 0, 0) O -2a + 3b = (-1, 6, 1) O 2d + 3b = (1, -6, -1) QUESTION 5 3D Vectors Dot Product Choose one . 4 points Calculate the dot product of a = (2, -1,3) and b = (0, 1,3) O 3 O 8 O2QUESTION 6 Angle Between two Vectors Choose one . 4 points Calculate the angle between the two vectors a = (1, -2, 0) and b = (4, 2, 1) Oo 90 O 45 QUESTION 7 Type of Angle Between two Vectors Choose one . 4 points find the type of angle between a = (0,-1, 3) and b =(1, 4, 1). O acute angle O obtuse angle O Right rightQUESTION 8 Orthogonal or Perpendicular Vectors Choose one . 4 points * Which two vectors a and bare orthogonal (perpendicular) ? O a = (2, -1,3) and b = (0, 3, 1) O a = (-1, -2, 0) and b = (2, 1, 0) O a = (0, -1,3) and b = (0, 1, 1) QUESTION 9 Component and Projection of a vector onto another vector Choose one . 4 points Given a =(1,2,2) and b=(1,1,1) , calculate comp, and proj O comp 4 =3 and proj = (1, 2, 2) O compa = andproj = (3.3,;) O compa - V3 and projQUESTION 10 Cross Product of two Vectors Choose one . 4 points Calculate the cross product of a (2,1,3) and b=(0, 1,3) , axb axb = (0, 1, 9) C axb = (0, -6, 2) C axb = (-6, 0, 2) QUESTION 11 Vectors Differentiation Choose one . 4 points Calculate # , Given a = (t-, t, 2) C da dt = (2t, 1, 2) O da dt = (t, 1, 0) O da dt = (2t, 1, 0)QUESTION 12 Partial Derivative of Vectors Choose one . 4 points Calculate # and Given u = (Ux, Wy, uz) = (xy', 4+ x, Ily) O Oui = (1, 1, 2x) and dyOr = (0, 0, 0) O Ori = (y', 1, ry) and dyor = (2y, 0, I) O Ou = (y', 1, 2ry) and dyde (2y, 0, 2:1) QUESTION 13 Integration of Vectors Choose one . 4 points Calculate So a(t)dt where a = 3t25 + 4t3j + 2k O a(t)dt = i + j + 2k = (1, 1, 2) a(t)dt = i+j = (1,1,0) o O a(t) dt = 3i + 4j + 2k = (3, 4, 2) 0QUESTION 14 Homogeneous System of linear Equations Choose one . 4 points Identify the homogeneous system of linear equations. cty-z=2 21 + 3y + z =1 I- y + 2z =0 O 1 +3y - z=0 ctytz=0 I- y + 22=0 + y 2 = 1 3y + Z = =0 QUESTION 15 Free Variables and leading unknowns (pivots) Choose one . 4 points + y 1 Identify the free variables and the leading unknowns in 3y + =0 Free variables : z , leading unknowns : x and y Free variables: none , leading unknowns : xy and z O Free variables: xy and z , leading unknowns : noneGaussian Elimination Choose one . 4 points Solve the system of linear equations using Gaussian elimination + 3y - Z = 7 2.T + 3y + Z = 8 y + 2z =1 O x=5, y=2 , Z=4 O x=1, y=1 and z=3 O x=1.y=2, and z=0 QUESTION 17 Consistent System of linear Equations Choose one . 4 points Identify the consistence system of linear equations = 1 FT + 2.T + 3y + = 6 T y + 2z = 2 + 3y Z = 5 + 3y + 8z = 0 Oz =6 T + y = 1 3y 2 0 Oz =4