3 PQRS is a parallelogram. The point T divides the line PQ in the ratio 1:3, and U, V and W are the midpoints of SR, PS and QR respectively. PT = a and PV = b. M a Express each of the following in terms of a and b: PaT i ii by iii PU iv VX b Show that XR =;(5a + 2b). W. 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: 1 7 Find if -3w-6(u + 2v) if u = -3j, v = i +2j, and w = -- --. Express your answer as a linear…

A:

Q: 4 9. is 6/2 The distance between the vectors u = and y = -2 %3D -5 True O False

A: Suppose u and v be any vectors from a same vector space. Then the distance between u and v is…

Q: Determine true or false. are linearly independent. True False 1 2 ··· 2 0 -3 The vectors

A: The given statement is                             The vectors 12-3 , 20-1 , 04-5 are linearly…

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: 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: For any two vectors ū and i, ||ū + u|| = ||ū|| +||7||-

A:

Q: vector A = -3 i +6j - 5 k vector B = -2 i + 3j+ k find: (vector A + vector B). (vector A - vector…

A:

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

A: Given

Q: Vectors a=(;) b=(;) c=(?) 2a + 3b + 4c = (

A: So here we have to add the matrix by multiplying given conditions so I'm providing hand written…

Q: Show that ā b 12

A:

Q: d a unit vector in the direction of u and in the direction opposite that of u. u = (3,-4) (a) in the…

A:

Q: State whether the vectors are parallel, orthogonal, or neither. v = 2i + j, w = i - 2j O Orthogonal…

A:

Q: Using vector algebraic operations. Four vectors drawn from a common point are given as follows: A =…

A: Since the question has multiple subparts, we will answer the first three subparts (a,b,c). If you…

Q: The magnitude and vector operations.  If v = (5, 3, 1)    and    u= (3, 2, 4)  what is 2|| 2v -…

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.