True or False: two orthogonal vectors ER" must be linearly dependent? Please provide a "proof"

Q: 8. If {V1, V2,..., ,}is a linearly dependent set of vectors, prove that one of these vectors is a…

A:

Q: 23. Are the vectors u = and v = orthogonal? Explain.

A: Two vectors are orthogonal, if their dot product is equal to zero.  The formula to calculate dot…

Q: would two independent vectors span a plane whereas two dependent vectors span a line?

A: If two vectors are linearly dependent:

Q: Why is HE vector twice of vector V?

A:

Q: Is the pair of vectors 2i – j and -i+jperpendicular? no yes

A: Given vectors 2i-j and -i+j Two vectors are perpendicular if and only if dot product of those two…

Q: Two linearly independent vectors in R3 span R2, is that true

A:

Q: use the vectors u = , v = , and w = a) Find which pair(s) of vectors from that set is/are…

A: We have to check

Q: 1. Explain why the following form linearly dependent sets of vec- tors. (Solve this problem by…

A: According to our guidelines we can do only one question if multiple question are posted. Please post…

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

A: Given

Q: A= (-5,12) B=(4,6) Assuming A and B as vectors, calculate the projection of vector B onto vector A.

A:

Q: 2 aj = a2 = az = b = Determine if vector b is a linear combination of vectors a1, a2, and аз. Show…

A:

Q: 4.) Are vectors Linearly independent? 2 3

A:

Q: . Prove that two vectors are linearly dependent if and only if one is a scalar multiple of the…

A:

Q: True or false, justify your answer The vectors v1 =(2,1), v2 =(1,2) and v3= (5,7) are independent.

A:

Q: Find two linearly independent vectors perpendicular to the vector -- = ? 5 5

A:

Q: please solve it , truth or false with justifying the answer q1,a

A: False It is linearly independent.Explanation:If you have any questions let me know in comment box…

Q: Choose the linearly dependent vectors in R'. Select one: а. O b. O d. -2

A: The solution is given below

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

A: The given vectors  and .The objective is to write the vector  as a linear combination of  and .

Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…