Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

Q: Find the length of the vector I -6 -5 ||

A: x→=x1x2x3length of vector x→ is (x1)2+(x2)2+(x3)2

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: Graph the Image of rectangle ABCD after a rotation 90° counterclockwise around the origin. 10 4 2…

A: From the graph we can see that the coordinates of-  A = (-9,-9) B = (-2,-9) C = (-2,-4) D = (-9,-4)…

Q: <(3).PNG Add to

A: Solution:-

Q: Dilate the vector (-2,6) by a factor of one half. K[ ? ],[ ]) Enter

A:

Q: What is meant by scalar multiple?

A: Let V be a vector space over the field ℝ. Take u,v ∈V.

Q: Write the vector in component form. m = 9, 315°

A:

Q: What is the component form of the vector represented by 2a when a (-23)7

A:

Q: e diagonalizable?

A:

Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: Plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane.

A: To plot the points (−3, 2), (4, −2), (3, 1), (0, −2), and (−1, −2) in the Cartesian Plane. Given…

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: Solve the BVP for the disk

A: In this question, we solve the Laplace equation in polar form. The B.C are given as exterior of the…

Q: Find the component form of the given vector. y 6 4 3 1 3 4 6.

A: The x coordinate of the point is 5

Q: If possible, find scalars c1 and c2 so that

A: Given: c11-2+c23-4=-56 c11-2=c1-2c1 c23-4=3c2-4c2 Therefore, c1-2c1+3c2-4c2=-56…

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Write each vector as a

A: Given,           S=1, 2, -2, 2, -1, 1

Q: How do you add two vectors algebraically? Geometrically?

A: Solution: Consider the two vectors: u→ = u1, u2 and v→ = v1, v2 Then the sum of u→ and v→is called…

Q: Name the vector and write its component form. 13. 14.

A:

Q: Find the magnitude of the scalar multiple, where u= (2, 0) v= (-3, 6) ll4vll

A: Known fact: The norm of vector u=a,b is defined as u=a2+b2.

Q: 一1- 2. Write 3 as a linear combination of the vectors +

A:

Q: Write the vector equation that is equivalent to the system of equations: 12x1 13x2 11x3 14x1 2x2 6x3…

A: Simply write the each coefficient of x1 , X2 &amp; x3 in each column respectively.

Q: What is the component form of the vector represented by 8a when a = (-5, 3)? Enter the answer in the…

A: Scale product of the vector

Q: ´2e6t The vectors X1 an

A:

Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

A:

Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: Find the dot product of each pair of the given vectors. 1 4 -4 1 16

A: Given vectors areV1=51-1,V2=-141,V3=4-416we have to find V1.V2,V2.V3 and V2.V3

Q: Write the zero vector of M3x4(F).

A: To write:The Zero vector of M3x4 (F)

Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: Line through (3, 4, −1) and parallel to 2i − 3j + 6k

A:

Q: + 12 +13 3. Solve the vector equation r1

A: Here we got infinite solution

Q: give vector form for the solution

A: Here we have to find the vector form

Q: Write y as the sum of a vector

A: Given,   And

Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

A:

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: n into cartesian coordinat

A: The polar equation is r=2rsin2θ+cosθ Convert into cartesian equation,  Use x=rcosθ , y=rsinθ. Apply…

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: a. ā· (5 × ¤) b. ä x (5· č) c. âx (5 x č) с.

A:

Q: 3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

A: As we know that, the rotation matrix when the vector rotates about the z-axis in the…

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: If they are linearly dependent, find scalars that are not all zero such that the equation below is…

A: Given  -4-3-33,-1-430,-3104 and -2-8-6-2

Q: Classify and reduce the following equations to a canonical form:

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

A:

Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

A:

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

A:

Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: Find the missing dimension

A:

Q: Find the scalar component of 6 a, +2 a,-3 a, along 3 a,- 4 a,

A:

Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: Find the component form of the vector.

A: Consider the figure: Find the component of form of a vector v.   The component form of a vector in…