Decide if the two subspaces U = span(U) and V = span(V) spanned by the two subsets and of vectors in R2 below are (1) orthogonal to one another and (2) orthogonal complements of one another with respect to R². Answer by entering 'true' or 'false'. ~-{[G]} *-{[13]} = = = Orthogonal? = {[³]} V = Orthogonal? = {[_!]} V = Orthogonal? V = ` = {[:]} Orthogonal? V = {[]} Orthogonal? V = V = V V Orthogonal Complements? {[!]} Orthogonal Complements? = {[-2]} Orthogonal Complements? - {[²]} Orthogonal Complements? = {[_4]} Orthogonal Complements?

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

A:

Q: Find  vector z + vector y if vector z= and vector y= . graph

A:

Q: If the cross product of two nonzero vectors is the zero vector, then each of the two vectors is a…

A: Explanation of the answer is as follows

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: Let Is w a linear combination of the vectors V₁, V₂ and 3? choose 13 -14 -4 --[H], -- [5] -- [13] D…

A: Given that the vectors w=-146 , v1=5-4 ,  v2=-4-3 ,  v3=11 .

Q: Let S = {v1, v2, v3} be a set of linearly independent vectors in R^3. (a) Are the vectors in the set…

A: Let S = {v1, v2, v3} be a set of linearly independent vectors in R^3. (a) Are the vectors in the set…

Q: Find a unit vector in the direction of

A: Given that,   vector = <6, 3, 2> = u¯ (Say)   Unit vector = u¯u = <6,3,2>62+32+22 =…

Q: determine if the following pair of vectors is linearly dependent or linearly independent. show all…

A: Step 1: Step 2: Step 3: Step 4:

Q: Perform the indicated operations for the given vectors. r=(4, 7), -(10, -10)..-(1, -6) Find v+s-r…

A:

Q: Find a unit vector in the direction of

A: Let us consider the given vector as,

Q: Express the vector b = a₁ + a2 + 2 -4 as a linear combination of the vectors a₁ = a3 = b -2 3 7 , a₂…

A:

Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: Vector u has POSITIVE x-component, POSITIVE y-component and ZERO z-component. Vector v has NEGATIVE…

A:

Q: Suppose and are vectors such that a × b =(3, 1, 4). What is the cross product of twice of a with…

A:

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: