28 Given two vocturs and p= J3it Hj-K and the magnitude of q R 4. The angle between and where is Calaulate. (a) the dot product piq (6) the magnitude of a vector which is orthegunal to both p and 9,.

Q: Find the resultant vector A + B and the resultant angle with respect to positive x-axis where vector…

A: Since vectors are not given so lets understand the concept to add the two vectors. Parallelogram law…

Q: C A

A: We use Triangle law

Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

A:

Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: Write the vector v = B - 3 8 {[][]}· 8 -2 as a coordinate vector with respect to the basis

A:

Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

A: Topic - vectors

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Let ? . Find the vector =42-Sg? and and its additve inverse

A:

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: What is the magnitude of the vector (2, 4, –4)?

A: FORMULA

Q: Find two linearly independent vectors perpendicular to the vector v= 1 9

A:

Q: Find a non-zero vector i perpendicular to the vector i

A: See the attachment

Q: Let the vector be x = (5,6), determine its coordinates relative to the base B = {(1,1),(-1,2)}}

A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

Q: Find the unit vector in the direction of v = (3, 5).

A: It is given that, v→=(3,5)   It is known that a vector R→=ai^+bj^ can be written as, R→=(a,b). As we…

Q: Find a vector orthogonal to both v = 8 -6 and w 9 0 -6

A: Step 1: The cross product of two vectors is orthogonal to both of the original vector Step 2: Step…

Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

A:

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: determine the magnitude of the vector ∥⟨2,8⟩∥

A:

Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

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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.