1. A vector B, with a magnitude of 8.0 m, is added to a vector A, which lies along an z axis. The sum of these two vectors is a third vector that lies along the y axis and has a magnitude that is twice the magnitude of A. What is the magnitude of A?

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

A: I am attaching image so that you understand each and every step.

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: 3. In the above problem, what is, ĮD|, the magnitude of vector Ď = Ä – B ? (A) 1.0 cm (B) 1.1 cm (C)…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Suppose that a vector v in g2 has a length of 2, and lies in the 4th quadrant, with initial point at…

A:

Q: 8 Find a vector of length: (2) (+) 3 a 10 units which is perpendicular to (a -4 b 3/2 units which is…

A:

Q: Given the following vectors acting on an object at what angle and magnitude must a force be applied…

A: We have given,Two forces acting on an object, say F1 = 150 lb  and  F2 = 300 lbWe can resolve both…

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

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

A:

Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

Q: The vector ü has length 12 and points at an angle of 5° The vector i has length 16 and points at an…

A:

Q: IF A =2âx+4ây , B =-3âx+âz and C =2ây+3âz, the vector in the plane containing A and C and…

A: Given: Let us consider the given values as ,  A→,B→,C→A→=2a^x+4a^yB→=3a^x+a^zC→=2a^y+3a^z

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: 2; Find a vector of magnitude 3 in the direction v = (0, 3, –4)

A: The given direction is 0,3,-4.

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

A:

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

A:

Q: The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an…

A:

Q: Two vectors in the plane, i & j, have the following properties: i · i = 1, i • j = 0, j • j = 1 a)…

A: Given data:- Two vectors in the plane, i and j have following properties; i·i=1, i·j=0, j·j=1

Q: The vector u has length 14 and points at an angle of 20° The vector v has length 16 and points at an…

A:

Q: a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A: Vectors are geometric representations of magnitude and direction which are often represented by…

Q: latél Show that if a is perpendicular to each of the vectors and then a is perpendicular to 26 +4

A: The detail solution is given below

Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

A:

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: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: 3 1 2 l a unit vector that is perpendicular to both ū an

A:

Q: 17) Find a vector v whose magnitude is 26 and whose component in the i direction is twice the…

A:

Q: 4. Find the magnitude of the horizontal and vertical components for a vector v with the given…

A:

Q: The vector i has length 11 and points at an angle of 15 The vector j has length 18 and points at an…

A:

Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

A:

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: Find the angle between the given vectors to the nearest tenth of a degree.u = <2, -4>, v =…

A:

Q: this case, give the magnitudes of the horizontal and vertical vector components of V, namely Vx and…

A:

Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

A:

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

A:

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

A:

Q: The vector u has length 11 and points at an angle of 20° The vector v has length 18 and points at an…

A:

Q: 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 3. +-b and Aa…

A: We have to find the value of lambda by using the data given above

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

A:

Q: 2. Find the angle between the following two vectors. and

A:

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

A:

Q: If a vector V has horizontal and vertical vector components with magnitudes  |Vx| = 9.8 and  |Vy| =…

A: Given:

Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

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

A:

Q: The magnitudes and directions of two forces acting at a point P are given as 30 pounds with N10°E…

A: Given that two forces acting on a point P, P1= 30 pounds with N10°E P2=80 pounds with N80°E Now,…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.