B) Let magnitude of vector || = 6 unit with angle = 120° Write the vector as components in the xy - plane

Q: List five vectors in Span {V1,V2} do not sketch 4

A: Given two vectors v1=93-8, v2=-640.

Q: A straight line has vector equation given by r=(1-A)i+(3+2A)j.How far is this line from the origin?

A:

Q: ) Let v = (-3,6,2). Determine the unit vector parallel to v and in the same direction as V.

A: (3) Given,

Q: Find the angle in degrees between vector a = and vector b =

A:

Q: define: unit vector

A:

Q: A three-dimensional unit vector parallel to the y-axis is

A:

Q: Compare between zero vector and unit vectors with drawing the suitable curves.

A: Solution : Here we have show the difference between the Zero vector and Unit vector.   Concept : A…

Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: Express the following vector as the product of its magnitude and a unit vector: v=(3/5)i^ + (4/5)k^

A:

Q: For the vectors u = (1,1,1,2) and v= (2,-1,-3,1), (a) Find the dot product v Number (b) Find the…

A: u=(1,1,1,2)v=(2,-1,-3,1)

Q: find the angle between vector A = and vector B = then write A as a sum of a vector parallel to B…

A:

Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

A:

Q: Let v = (-1,3,4). Find (a) a unit vector in the direction. of v and (b) a unit vector in the…

A: The given vector .The aim is to find the unit vector in the direction of  and the unit vector in the…

Q: Describe vectors in the xyz-coordinate system

A: Given query is to find the distance of point from the YZ palne

Q: Sketch your process of determining the vector and find its component form if 7 makes the angle of…

A: Here we can use easy method like spherical coordinates to solve this question. Here magnitude and…

Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below

Q: Derive the relation between unit Vectors of Glindrical and Cartesian Coordinates?

A:

Q: Is (1, 1) a unit vector? Explain.

A: We know that if any vector a→=a1i+a2j+a3k will be a unit vector then its magnitude a→=a12+a22+a32…

Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

Q: A ship S is travelling with a constant velocity, v, measured in kilometres per hour, where -12…

A: Given that a ship is traveling with a constant velocity v, measured in km per hour where the…

Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: Find the projection of v = [-3, 3, 6] onto the line L with vector equation x=td where d = [4, -3, 1]

A: