2. (a) Find the magnitude of the vector −2î + ĵ + 2k̂). (b) Find the magnitude of the vector 3î− 6ĵ + 2k̂). (c) Find the angle between these two vectors. (d) Calculate the vector sum of the vectors. (e) Calculate the dot product of the vectors. (f) Calculate the cross product of the vectors.Need help with d to f. Attach here are the given and answers to previous questions. Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. Ifyou want remaining sub-parts to be solved, then please resubmit the whole question andspecify those sub-parts you want us to solve.Step 2(a). Find the magnitude of given vector -21 + ĵ+ 2kmagnitude =V(-2)² + (I)² + (2)?Magnitude=3(b). Find out the given vector 31- 6j + 2kMagnitude=V(3)? +(-6)² + (2)²=V9 + 36+4=V49Magnitude=7Step 3(c). Find out the angle between two vectors, will be 0cose:(-2+ j+ 2k).(3M– 6j + 2k)6-6+43x7cose=0=cos (#)0=1.96The angle between two vectors will be 1.96

Given data: A = −2î + ĵ + 2k̂ B = 3î− 6ĵ + 2k̂ Need to determine sum of the vectors and dot and…

Find the magnitude of the vector −2î + ĵ + 2k̂). (b) Find the magnitude of the vector 3î− 6ĵ + 2k̂). (c) Find the angle between these two vectors. (d) Calculate the vector sum of the vectors. (e) Calculate the dot product of the vectors. (f) Calculate the cross product of the vectors.

Find the magnitude of the vector −2î + ĵ + 2k̂). (b) Find the magnitude of the vector 3î− 6ĵ + 2k̂). (c) Find the angle between these two vectors. (d) Calculate the vector sum of the vectors. (e) Calculate the dot product of the vectors. (f) Calculate the cross product of the vectors.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

See similar textbooks

Related questions

Q: Two vectors have the following magnitude, A = 8.7 m and B = 5.9 m. Their vector product is: A⨯B =…

A: Given Data: Magnitude of A vector, A=8.7 m Magnitude of A vector, B=5.9 m Vector product, A×B=-2.9 m…

Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

Q: Two vectors A and B are given by A=4i+8j B= 6i-2j find their scalar product A.B .find cosine of the…

Q: 1. Find the dot product of A and B. 2. Find the magnitude of the cross product of A and B.

Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

Q: Two vectors have the following magnitude, A = 9.7 m and B = 14.6 m. Their vector product is: AXB =…

Q: Given: Two forces F and G are applied to a hook. Force F is shown in F = 100 lb the figure and it…

A: To determine Resultant force

Q: Two vectors have the following magnitude, A = 11.6 m and B = 14.3 m. Their vector product is: AxB =…

A: Given: A = 11.6 m B = 14.3 m A×B = -2.7 m i + 13.2 m k Required: Angle between vectors

Q: (10pts) Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k +…

A: Answer Give data A= 3 B=3 A×B = -5k + 2i We have the formula for cross product A×B = |A| |B| sinθ

Q: Two vectors have the following magnitude, A = 14.2 m and B = 5 m. Their vector product is: AxB =…

A: Given: The magnitude of the first vector is A→=14.2 m The magnitude of the second vector is B→=5 m…

Q: QUESTION 2 Two vectors have the following magnitude, A = 6.2 m and B = 7.9 m. Their vector product…

A: Solution: Given that A = 6.2 m B = 7.9 m their cross product is AxB = -4.5i+12.2k

Q: In the diagram shown, vector W has a magnitude of 0.30 [m] and is directed 35° N of E. Vector Y has…

Q: O Product of Vectors and Angle between Two Vectors 2.) A = 8i +4j – 2k lb 1.) Ä = 72.4 N, 32° E of N…

Q: Two vectors have the following magnitude, A = 7.1 m and B = 8.8 m. Their vector product is: A⨯B =…

Q: The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between…

A: 1) We have components of vector A, Ax=5.6 and Ay=-4.7. We need to find angle b/w A and x-axis. 2)…

Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

A: Given : |a × b| = 0

Q: Two vectors have the following magnitude, A = 6.2 m and B = 7.9 m. Their vector product is: A⨯B =…

A: Introduction: Vectors are the quantity which require magnitude as well as direction for its complete…

Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

A: Given Two vectors are a and b The magnitude of vector product of these two vector is zero. a × b…

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:- Formula used:-

Q: Two vectors have the following magnitude, A = 11.8 m and B = 6.8 m. Their vector product is: A.B =…

Q: Vector Å has magnitude of 6 units and is in the direction of the +x-axis. Vector B has a magnitude…

Q: Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: a)…

A: The given three vectors are A=-2i+3j+4k,B=3i+1j–3k, and C=3i-4j+2k

Q: Can you solve these problems and show steps with brief explanations where possible? Thank you!

A: Part AGiven

Q: or the two vectors and in the given figure, (a) find the scalar product. (b) find th lirection of…

A: A vector can be written as A̅ = Ax î + Ay ĵ Ax = A Cosθ Ay = A Sinθ

Q: Two vectors have the following magnitude, A = 9.6 m and B = 6.8 m. Their vector product is: A⨯B =…

A: Given: The cross product of vector A and vector B is -3.7 mi^+8.6 mj^. The magnitude of vector A is…

Q: 1. Given the following vectors: 5 = -1.00 i - 3.00 j + 4.00 k A = 3.00 i + 4.00 } %3D a. (5 points)…

Q: Vector A has magnitude 11.89 m and vector B has magnitude 13.89 m. The magnitude of the cross…

A: Given Magnitude of the two vectors are given as A→=11.89 m and B→=13.89 m Magnitude of the cross…

Q: Two vectors have the following magnitude, A= 7.3 m and B = 11.1 m. Their vector product is: AxB =…

A: Given data: Magnitude of vectors A = 7.3 m and B = 11.1 m A×B = -3.4 m I + 6.8 m k Required: The…

Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has…

A: The vector form of the vector A can be given as, The vector form of the product of the vectors A…

Q: 11.What is the angle between A = î + ĵ and B = ĵ – k ? 30° ® 45° = 50 cm with a vector B is 0 and…

Q: 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in…

A: Given data: a = 10.0 units b = 6.00 units Angle between vector a and b (θ) = 60.0°

Q: Two vectors have the following magnitude, A = 14.1 m and B = 7.9 m. Their vector product is: AxB =…

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Magnitude of A , |A| = 3 Magnitude of B, |B| = 3 Vector product , A x B = -5k + 2i To find = angle…

Q: Two vectors have the following magnitude, A = 10 m and B = 7.7 m. Their vector product is: AxB =…

Q: 1. Find the x-component of this vector: C = 300 N, 50 deg W of S 2. Write this vector in scalar…

Q: 1.47 •• The vector product of vectors Á and B has magnitude 16.0 m² and is in the +z-direction. If…

Q: The vector a has a magnitude of 5.00 units and the vector b a magnitude of 7.00 units. If the angle…

A: Given data: Magnitude of vector a a = 5.00 units Magnitude of vector b b = 7.00 units Angle between…

Q: Two vectors have the following magnitude, A = 7.7 m and B = 6.7 m. Their vector product is: A⨯B =…

Q: Which of the following statements about the vector product is or are true? I) The resulting vector…

A: Answer:) option (a) i and iii Explanation:)

Q: A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by…

A: Here given two vectors of magnitude 17 units and 8.5 units,differs by a direction 72°. We have to…

Q: Two vectors have the following magnitude, A = 10.4 m and B = 11.6 m. Their vector product is: A.B =…

A: Given data: A→=10.4 mB→=11.6 mA→×B→=-1.3i^+14.6k^ mA→×B→=ABsinθ

Q: Which of the following statements is true about the relationship between the magnitude of the cross…

Q: 20) Which of the following statements is true about the relationship between the scalar product of…

A: Given:Two vectors F→ and r→To find:relation between scalar product and product of magnitude=??

Q: What is the cross product of a= (2, -5, 1) and b = (3, -2, -4)?

Q: 5. Find the vector product A X B (expressed in unit vectors) of the two vectors A=4.00i +7.00j and…

Q: Two vectors have the following magnitude, A = 5.4 m and B = 11.1 m. Their vector product is: A⨯B =…

A: Given A=5.4m B=11.1 m A⨯B = -2.6 m i + 5.9 m k.

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

2. (a) Find the magnitude of the vector −2î + ĵ + 2k̂). (b) Find the magnitude of the vector 3î− 6ĵ + 2k̂). (c) Find the angle between these two vectors. (d) Calculate the vector sum of the vectors. (e) Calculate the dot product of the vectors. (f) Calculate the cross product of the vectors.

Need help with d to f. Attach here are the given and answers to previous questions.

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If
you want remaining sub-parts to be solved, then please resubmit the whole question and
specify those sub-parts you want us to solve.
Step 2
(a). Find the magnitude of given vector -21 + ĵ+ 2k
magnitude =V(-2)² + (I)² + (2)?
Magnitude=3
(b). Find out the given vector 31- 6j + 2k
Magnitude=V(3)? +(-6)² + (2)²
=V9 + 36+4
=V49
Magnitude=7
Step 3
(c). Find out the angle between two vectors, will be 0
cose:
(-2+ j+ 2k).(3M– 6j + 2k)
6-6+4
3x7
cose=
0=cos (#)
0=1.96
The angle between two vectors will be 1.96

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

This is scalar and vector quantities. Can someone please explain and show me the computation of these two questions? Thank you. 1) Albert wanted to go to City, so, he rode a jeepney 4.5 km West and then rode a pedicab 345 m North. llustrate the given problem and then find the distance covered and the displacement. Hint: In finding the displacement, you may use the Pythagorean Theorem. 2) While running on his hands, an athlete sprinted 50.0 m [forward] in a record 16.9 s. a) Determine the average velocity. b) Convert your answer in (a) to km/hr
Answer the following: On what plane is the vector <1,0,0> located? What is the axis of <1,0,0>? The vector <1,2,3> is a unit vector, true or false? A vector is always _____ to its unit vector representation
Define the unit vector? What is the unit vector of the general vector: ? = ̂ ⃗⃗ ???̂+???̂+??? and ?=2.0?̂−4.0?̂?
Consider the following two vectors:U = 1.3i + 2.2j + 4.1kV = -5.5i - 6.5j + 11.3k What is the magnitude of the vector U? What is the magnitude of the vector V? What is the angle between U and V? Enter this as an angle between 0 and 90°.
At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
A breeder wants to fence off his four-sided plot of flat land, as shown in the figure. He measures the first three sides, labeled as A, B, and C, where A = 4.8 km, B = 2.64 km, and C = 2.78 km, and then correctly calculates the length and orientation of the fourth side D. What is the length of vector D in kilometer? Please explain how you got your answer in detail.
A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit’s position as functions of time t (seconds) are given by x=-0.31t2 + 7.2t + 28 (4-5) and y =0.22t2 - 9.1t + 30. (4-6) (a) At t = 15 s, what is the rabbit’s position vector in unitvector notation and in magnitude-angle notation?
Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two vectors in i, j, k format? Of course, the k component equals zero in this example. What is the magnitude of the Resultant, or R ? What is the direction of the Resultant, R in the standard two-dimensional x-y plane with respect to the positive x axis?
Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units, 2300 and E= 200 units, 2500
Vector A has components Ax=−8.20 and Ay=11.7 . What is the magnitude A of this vector? ?=? Determine the angle θ in degrees between the calculated vector and the +x‑axis, measured counterclockwise from the +x-axis. ?=?