Let be the vector with initial point (8, 1) and terminal point (6,5). Express as a linear combination of the standard unit vectors. Ov=4i-2j 05-21-47 Ov=2i+4j Ov=-21-4j Ov=-2+47 O None of the above.

Solve the system below. Parameterize the solution set. – 2x + Зу + 3y 7z 4х + 7y + 19z 11 - 6x 6y 6z - 12 - +

Write a (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to 6 If a 18 1 = = = ả tải, then: (0,4,0) X = (0, 4, 3).

Find a vector that is orthogonal to v. v= <-2,5>

The figure below shows two named points A and B in R?. 6 4 A -1 -2 -3 -4 B -5 -6 -6 -5 -4 -3 -2 -1 5 6 1 3 4 > Part 1 Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0, -2). ВА- + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA = +

Express the dot product of u and v in terms of the components of the vectors.

The set containing the elements specified also possesses its relevant operations of multiplication over reals and vector addition. Is the set a real vector space?

Which of these vectors is equivalent to the vector that has initial point (5,-2) and terminal point (3,1)? O O O O

Draw the vector within the unit cell (1.-2.-1)

3 -i Rewrite the vector v = in the form a + ib, where vectors a and b have only real components. 4 V2