If A is an arbitrary vector and R and S are arbitrary dyads, verify that: (a) (I x A) R = A x R. (c) (Rx A)¹ = -Ax RT. (b) (A x I) R = A x R. (d) (R.S)¹ = ST.RT.

Q: What is the unit vector oppositely directed to 4?−5?−5??

A: Topic:-  vector algebra

Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: For the vectors a = <2, 8> and b = <4, 6>    find orthab.

A: The objective of the question is to find the orthogonal projection of vector a onto vector b. The…

Q: 44. (a) Find all vectors v such that (1.2.1) X = (3.L-5) (b) Explain why there is no yector v such…

A: To find vectors v?

Q: For which a are the vectors ⟨2,a,1⟩ and ⟨1,−2,4⟩ perpendicular?

A:

Q: 17) Let a = [3, -4] and b = [−6, k]. a) Determine the value(s) of k such that a + b = a + 6. What is…

A: