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

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: Find the angle between the planes whose vector equations are 7-(2i + 2)- 36) =57-(3i -3) + Sk) = 3…

A: The solution to the the given question is explained below.

Q: The plane contains the origin and is normal to the vector<4, −1, 5>.

A: Given: (4, −1, 5

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

A:

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

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: 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: 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: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

A:

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

A:

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…