16. If vectors A and B are opposite vectors and the magnitude of A is 5, what is the magnitude of B ? 5. 17. How is velocity different from speed?

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹-3, 4› b =…

A: The vectors a= <-3,4>b=<21,2>

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹√3, 1› b = ‹0,…

A: Please see the explanation below

Q: What should the value of y be for the given vectors å = 3î + 2ĵ + 2k , b = î - ĵ +k and ĉ = 2î + 2yj…

A: Given that three vectors are in the same plane or we can say the vectors are coplanar. If three…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A:

Q: Which of the following vectors are parallel? 1. Please select the two vectors that are parallel. А.…

A: 1) Two parallel vectors a and b are of the form a=kb, where k is a constant.  We can write <12,…

Q: Two cars travel in the same direction along the same roller coaster(at different times). Which of…

A: Given data, Two cars travel in the same direction along the same roller coaster (at different…

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

A:

Q: A If the magnitude of vector A is multiplied by 2, which of the following vectors would be the…

A:

Q: 5. D The angle between two vectors a and b is -, Given that /a/ = 3 and /b/ = 4. find (a) /2a + 3b/…

A: Vectors

Q: a – ° and For what values of a and b are the vectors 2 4 equal? a +b

A: Given vectors are: a-b2 and 4a+b. To find values of a and b for which vectors are equal. Solution:…

Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

A:

Q: 12. 1. If point A is a point on the terminal side of angle in standard position, how many distances…

A: 12.if point A is on the terminal side in standard position, so three distances are associated with A…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: 6. Find the magnitude of the resultant of two vectors u and v, given u=2, y =7 and the angle between…

A: We have to find the magnitude of the resultant of two vectors and v and the angle between the…

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: If A||B then the angle between A and B vectors is All of the above is true IO I II O 0.III О

A: We have to find angle between two parallel vectors.

Q: 2. A force vector has a magnitude of 14 N and makes an angle of 20° with the x-axis. What is the…

A: Given that (Magnitude of force vector) F→=14 N  (Angle) θ=20°

Q: 4) A Line has y= ( % ) x +9 as its equation. a) Give a direction vector for a line that is parallel…

A: Equation of Line:y=56x+9  … (1)  By comparing (1) with the standard equation y=m x+c .⇒m=56⇒ slope…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?  (2,…

A: Let the 2 nonzero vectors be v and w and also the scalar vector be λ . Both the vectors are said to…

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

A:

Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: The angle between the vectors a=(2,6) and b=(3,-1) is Select one: O a. O b. 3 3. O d.

A: Angle between two vector  Vector a = 2i+6j Vector b= 3i-j

Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: 8. Find the magnitude and direction angle of the vector u = (-5,-2).

A:

Q: 1. A force vector has a magnitude of 23 N and makes an angle of 35° with the x-axis. What is the…

A: We know that, vertical component = y-axis

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: The inequality a ob < 0 imples that the angle between the two vectors is O obtuse O the right angle…

A: From given information

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: The horizontal vector A has magnitude A = 2.2 and its direction is 0 = 35° east of north*. (For your…

A:

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: At approximately what angle should the tails of two unit vectors a and y be placed if 2+ 7 = 1.5 60…

A: It is given that x→ and y→are two unit vectors, x→=1y→=1 Let the angle between the given two vectors…

Q: [17] A vector à has a magnitude of 35 units and makes an angle of 37° with the positive x axis.…

A: Explained below

Q: The vector a is twice as long as the vector b. The angle between the vectors is 25°, and the…

A: Use the formula of cross product and area of parallelogram.

Q: rigure r3.I| Problems 11 and 22. Three displacements are A 200 m due south, B : due west, and C 250…

A:

Q: Find the exact area of the triangle with two sides given by the vectors u = i+j- 3k and v = 2i…

A:

Q: Two vectors are equal is they are parallel and have the same magnitude and direction ylgn O ihi

A: For two vectors to be equal, they must have both the magnitude and the directions equal.

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: according to what you learned from the vector addition experiment, if we have vectors å = 2.4x – 3ŷ…

A: the given vectors are: a→=2.4x^-3y^b→=4x^+5.5y^ where x^ and y^ are unit vectors representing…

Q: 11.3.19 In the figure to the right, it looks as if v, + v, and v, - v, are orthogonal. Under what…

A: Dot product of two orthogonal vectors are always equals to "0" . Therefore, if v1+v2 and v1-v2 are…

Q: 16. Find the magnitude of the vector and the angle 6, 0°<e<360°, that the vec positive x-axis. 7

A: Explanation and solutions is given below....

Q: The vector w⃗  is 8 units long and makes an angle of 39∘ with the positive x-axis. What is the…

A: We have to find the component form of vector w.

Q: 14. Given that a and bare two vectors, then the vector (a + b) × (a – b) is A. perpendicular to (a –…

A:

Q: Consider vectors i and v with ||u|| 2 and ||0|| = 9. Suppose the angle between the two vectors is 4…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.