1 Tis the midpoint of the line PS and R divides the line QS in the ratio 1:3. PT = a and PQ =b. a Express each of the following in terms of a and b: P. a i i PŚ ii OŠ iii PR b Show that RT =÷(2a – 3b). b %3D R

Q: 1. Given the vectors l = (2,-6) and 7 = (5, 5) , find %3D a. 37 - 7

A: The given vectors,         u→=2,-6 and v→=5, 5

Q: 1. Parallelogram method Vector A: 10 m, 25⁰ Vector B: 6 m, 15°

A: (1) Given that,   Vector A:  10m,  25o   Vector B:   6m,  15o    Formula: To solve using the…

Q: Consider the following vectors: 1 1 2 ;V2 = 1 Vị = ;V3 4 (a) Determine if these vectors are linearly…

A: Given vector are v1=121, v2=132 and v3=104. (a) We have determine whether the these vectors are…

Q: Vectors What is the resultant of vectors a and b? ( A

A:

Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

A:

Q: (d) s(v+ww) × (rv)

A: Given that u→,v→,w→∈ℝ3 and r ,s ∈ℝ.

Q: Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

A:

Q: Find the vector in the direction of ⟨5,−12⟩ with length 3.

A: Given that: Vector is in the direction of <5, -12> and length is 3.

Q: Use the given vectors to compute u + v, u-v, and 3u - 4v. u = (3, -7), v= (5, 9) u + v = u - v = 3u…

A:

Q: Find two unit vectors orthogonal to Enter your answer so the first vector has a positive first…

A:

Q: The vectors listed in Eq. (10) are used in several of the exercises that follow. VI = [2]· 2 -[3].…

A:

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: vector (A) = -2 i-5j +2 k vector (B) = -5 i-2j-3 k Find the magnitude of (vector A. vector B)

A:

Q: -5 4 and v = 7 Compute the quantity using the vectors u = 1 u•v V V•v u•v v = (Simplify your…

A: This is a problem of vector calculus. We need the concept of dot product of two vectors to solve the…

Q: Use the given pair of vectors, v= 7i+8j , w= -8j , to find the following quantities. State whether…

A:

Q: Vectors What is the resultant of vectors a and b? ( A C B

A: Given

Q: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: a State the condition(s) that a, b, c, and d must satisfy for the vector b to be 1 1 -1 and spanned…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.