Consider the two vectors A i- 3j and B=-i - 2 j.(a) Calculate A + B(b) Calculate A - Bi+(c) Calculate A + B(d) Calculate A-B(e) Calculate the directions of A + B and A - B.

Given, Here two vectors are given, vector A and vector B. Based on that, we have to answer (a),…

Answered: Consider the two vectors A i- 3j and B…

Consider the two vectors A i- 3j and B -i-2j. (a) Calculate A + B i+ (b) Calculate A- BE i+ (c) Calculate A + B (d) Calculate A-B (e) Calculate the directions of A and A-B.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 47P

See similar textbooks

Related questions

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given, a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: 42. For the two vectors A = 4.0i + 3.0j + 2.0k and B = –1.0i + 2.0j + 1.0k, calculate A · B and A ×…

Q: Suppose that Ã = 2i + j, B =i- 4j + k, and Č =j+k. ZÃ -B + Č? What is the magnitude of the vector A)…

A: A→ = 2i^ + j^B→ = i^ - 4j^ + k^C→ = j^ + k^

Q: If we have two vectors A = 2i + 3j, B = -i + 2j and constant c=3, which one of the following is…

Q: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate projvu and scalvu

Q: Find the direction and magnitude of the vectors. (a) A (5.0 m)x + (-2.0 m)y, (b) B (-2.0 m)x + (5.0…

A: A→ = 5x^ - 2y^ m B→ = -2x^ + 5y^

Q: För questions # 19-20 Consider the following displacement vectors d;= 4.5 km due north d2=6.9 km due…

A: Given: d1=4.5 km due northd2=6.9 km due southd3=3.5 km due southd4=4.5 km due south To Find: What…

Q: Consider the two vectors,A = 14x + 35.5y B = 5.2x - 24.5y. What is the magnitude of 3A+B

Q: find the sum of these 4 vectors: A= 5j B= 6i C= -5j D= -4i + 2j

A: Given data: A= 5j ; B= 6i C= -5j ; D= -4i + 2j Required: Sum of vectors A, B, C and D

Q: À = 2i + j, B =i- 4j + k, Ĉ = j+k. and What is the magnitude of the vector 2Ã - B + Č, A) 9.24 B)…

Q: Two vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→,…

A: The vectors are,

Q: Given the three vectors, A = 3i+2j-k, B = -6i-4j+2k and C = i-2j-k, find which two vectors are…

Q: ind the magnitude of vector C if C = A + B and A= -2.00i + 3.00j + 4.00k & B= 3.00i + 1.00j - 3.00k.…

A: A = -2.00 i + 3.00 j + 4.00 k & B = 3.00 i + 1.00 j - 3.00 k The vector C is given by C→ = A→ +…

Q: Consider the displacement vectors A =i +6j (in m), B = 3i –7j (in m), and C = -2j (in m). If aÃ–bB =…

A: solution is given in step 2

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

Q: Consider the following vectors as described below: À= 8.00 m S B = 15.0 m 30° E of N Č = 12.0 m 25°…

Q: What is the direction of this vector? Give angle counterclockwise (CCW) from +x axis between -180°…

A: Formula of Angle is as follows: θ=tan-1yx 1)

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data: Two vectors A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

Q: Three vectors are represented by A, 4.2∠45◦, B, 5.5∠−32◦ , and C, 2.8∠75◦. Determine in polar form…

Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate

Q: Let A = (2m)i + (6m)j and B = (4m)i + (2m)j. The vector difference D= A- Bis equal to: O (6m)i +…

A: in vectors i and j shows the direction of the vector the number before i or j shows the magnitude…

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j − 2k; B = −4i + 2j + 3k ; C = 5i – 8j…

A: We have three vectors that are represented by A→=3i^+5j^-2k^, B→=-4i^+2j^+3k^ and C→=5i^-8j-9k^.…

Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

Q: For the following three vectors, what is 3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

Q: de. 17. Let there be two vectors a and b such that a +b is in same direction as a-b. Select the…

Q: A=4i+6j+2k B=-2i-4j+0k find A+B and it's direction

Q: For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î +…

Q: Two vectors are given (a = 6 i – 20 j, b = - 7 i + 10 j). Find a + b, a – b, a vector c such that a…

Q: The vectors A= 3ax -2ay + 5az, B=4ax-6 ay + 2az, C=4ax-6ay-9az the result of C. (A- ,B) is

Q: Compute the x- and y-components of the vectors vec A vec B , vec C , and overline D in the Figure

A: To determine x- and y-components of the vectors vec A vec B , vec C , and overline D as shown in…

Q: Vectors A = 2i +4j – 5k and B = -i + 3j – 2k. Find the angle (in degrees) between A and B.

A: a⇀·b⇀=abcosθθ=cos-1a⇀·b⇀ab

Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

Q: Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the…

A: Given, M = -10ax +4ay -8azN =8ax + 7ay - 2az

Q: Given the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB…

A: Given:

Q: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

Q: If Force (-2,3) and Displacement (-5,-3), find the angle in degrees between the two vectors. O 18.61…

Q: Two vectors are given by å = (4.0 m)î – (3.0 m)ĵ + (1.0 m)k and b = (-1.0 m)î + (8.0 m)ĵ + (2.0 m)k…

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k ; C = 5i − 8j…

Q: Consider the two vectors A = 5i- j and B--i- 4 j. (a) Calculate A +B i+ (b) Calculate A - B i+ (c)…

Q: Find the resultant of the given vectors: A=100km,30'degree E of N B=200km,30'degree S of E C=150km,W

Q: Solve for the required using the given vectors A = 3i – 8j + 6k B = 4 j + 9k – 5i C = 7k a. A ∙ B…

Q: Two vectors aand b of lengths a and b make an angle e with each other when placed tail to tail.…

Q: If A = 12 i- 16 j and B = 24 i+ 10 j, what is the direction (angle in degree) of the vector C = 2A +…

A: Given data: Two vectors A = 12i - 16j B = 24i + 10j Required: The direction of the vector C = 2A +…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

Consider the two vectors A i- 3j and B=-i - 2 j.
(a) Calculate A + B
(b) Calculate A - B
i+
(c) Calculate A + B
(d) Calculate A-B
(e) Calculate the directions of A + B and A - B.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

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

For the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)
If two vectors have the same magnitude, do their components have to be the same?
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
If two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?
What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
If two vectors are equal, what can you say about their components?
For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)