Part A) Part B) Part C)
Posted: Mon Apr 11, 2022 6:08 am
Part A)
Part B)
Part C)
Determine if the following vectors are orthogonal. a --[11-1:] .. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors a and b are orthogonal because a+b = O B. The vectors a and b are orthogonal because a.b = OC. The vectors a and b are not orthogonal because a b= OD. The vectors a and b are not orthogonal because a+b=
Determine if the following vectors are orthogonal. 10 2 u 5 y = -5 5 1 .. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors u and v are not orthogonal because u.v= OB. The vectors u and v are orthogonal because u.v= OC. The vectors u and v are orthogonal because u +v= OD. The vectors u and v are not orthogonal because u +v=
Determine whether the statement below is true or false. Justify the answer. The vectors are in R". For any scalar c. || CV || = || ||- . ... Choose the correct answer below. O A. The statement is false. Since there is a square root involved in the formula for length, the value of|cv will always be lesser in magnitude than the value of CUVI OB. The statement is true. If the coordinates of a vector v in R" are va ... Vn, then the coordinates of cv for any scalar c are cvq, ..., cvn. This then leads to the following || cv | = (c)2 + ... + (cyn)? -+c? v? c? (vž + ... + v) + v? = civil OC. The statement is false. Since length is always positive, the value of || cv || is positive for all values of c. However, c||1|| is negative if c is negative. OD. The statement is true. It is a consequence of the Pythagorean Theorem. c2v2 + ... + V =
Part B)
Part C)
Determine if the following vectors are orthogonal. a --[11-1:] .. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors a and b are orthogonal because a+b = O B. The vectors a and b are orthogonal because a.b = OC. The vectors a and b are not orthogonal because a b= OD. The vectors a and b are not orthogonal because a+b=
Determine if the following vectors are orthogonal. 10 2 u 5 y = -5 5 1 .. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors u and v are not orthogonal because u.v= OB. The vectors u and v are orthogonal because u.v= OC. The vectors u and v are orthogonal because u +v= OD. The vectors u and v are not orthogonal because u +v=
Determine whether the statement below is true or false. Justify the answer. The vectors are in R". For any scalar c. || CV || = || ||- . ... Choose the correct answer below. O A. The statement is false. Since there is a square root involved in the formula for length, the value of|cv will always be lesser in magnitude than the value of CUVI OB. The statement is true. If the coordinates of a vector v in R" are va ... Vn, then the coordinates of cv for any scalar c are cvq, ..., cvn. This then leads to the following || cv | = (c)2 + ... + (cyn)? -+c? v? c? (vž + ... + v) + v? = civil OC. The statement is false. Since length is always positive, the value of || cv || is positive for all values of c. However, c||1|| is negative if c is negative. OD. The statement is true. It is a consequence of the Pythagorean Theorem. c2v2 + ... + V =