Rotate the vector (0,2) 270° counter-clockwise about the origin. {[ ? ],[ KU?1| )

Q: Use the vectors shown to sketch u - 3v. (Assume that each point lies on the grid lines and that each…

A: Sketch the vector:  First draw the vector 3v: For -3v, the vector will change its direction.

Q: Find the unit vector in the direction of <4,2>

A:

Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

Q: Find a unit vector having the same direction as the given vector. (-7, 7)

A:

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: Find the component form of the vector.The unit vector that makes an angle u = -3pi/4 with the…

A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: Find the magnitude and the direction of the resultant vector. (5, 11) V w (4,-3)

A: The given vectors,v→=(5,11) and w→=(4,-3)

Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: Use the vectors in the figure below to graph the following vector. 12) u + z

A:

Q: Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector…

A: Let u be the required vector and given vector be v=35i-45k.

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: Given:

Q: Find a vector of magnitude 10 in the direction of v = 3i − 4k

A:

Q: Find the unit vector that has the same direction as the vector v. 31

A:

Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

Q: Determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: We know that angle between two vectors a1,b1,c1 and a2,b2,c2 is given as θ=cos-1a→·b→a→b→        ⋯⋯1…

Q: Find the given vector. The unit vector in the direction of u =〈1, 0, 7〉

A: A unit vector gets its name from the fact that the magnitude of the unit vector is unity or 1. It is…

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

Q: Find a unit vector in the direction of w =-11i+60j. Express your answer in terms of i and j, using…

A:

Q: Find the magnitude and direction angle of the vector. (-3,-1)

A: Magnitude:

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

Q: Rotate the vector (-3,5) 270° clockwise about the origin.

A: Use linear transformation

Q: 45° |C|=20 Find the EXACT components of the vector above using the angle shown.

A: |c| = 20 It have two component in horizontal and vertical direction.

Q: Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

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: Q=45 60° Find the EXACT components of the vector above using the angle shown.

A: To find the exact components of vector

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: C a

A:

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: Find the vector V with the given magnitude and in the same direction as " M-;; -( 5 u = 4 - 6, 8)

A: We have to find vector

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Rotate the vector (5,1) 90° counter-clockwise about the origin.

A: Given,        A point (5,1). we need to rotate the point (5,1) 90o counter-clockwise about the…

Q: Find the unit vector that has the same direction as the vector v = 3i - 4j.

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

Q: Rotate the vector (3,-2) 90° clockwise about the origin. {[ ? ],[ ]} Enter

A:

Q: Find a unit vector u in the direction opposite of (-1, –1, –10). U =

A: We have given a vector.  We have to a unit vector in the direction opposite of <-1, -1, 10>

Q: Find a unit vector in the direction of the vector v = .

A: Given a vector v=<-2,2>. We need to find a unit vector in the direction of 'v'. Let's begin.

Q: Consider the figure below. If AABC is translated using the vector (x, y) → (a-3, y+3), then rotated…

A: Given, Here x,y→x-3,y+3 and then rotated 180° about the origin.

Q: Find the real part of the length of the vector v° = (5 + i, –3 – i)

A: Use the given vector.

Q: Find the angle a between the vectors 日- 2 and a =

A:

Q: ) The magnitude of the vector a = 2i – 3j is

A:

Q: Find the magnitude of the resultant vector. (8, 10) (7, -1) [?] Round to the nearest tenth. 13

A: First find the resultant vector then take the magnitude.

Q: Find the angle O between the vector S -5 and -3 -4 Answer in rodians

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 a unit vector u in the direction of the given vector. (- 1,2)

A: The given vector is, < -1, 2 >.

Q: Rotate the vector (-3,5) 270° counter-clockwise about the origin. {[ ? ],[ ])

A: When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.