Answered: Two vectors are given…

Two vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component ofa→along the direction ofb→?

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 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

See similar textbooks

Related questions

Q: Given two vectors A⃗ =A→= 4.20 i^+i^+ 7.40 j^j^ and B⃗ =B→= 5.50 i^−i^− 2.20 j^j^ , find the scalar…

Q: What is the scalar product A*B if A=Xi+Yj and B=Xi-Yj?

A: Given data: Two vectors A→ = Xi^+Yj^B→ = Xi^-Yj^ Required: The scalar product

Q: Consider the vectors A = (-5.4, 8.8) and B = (8.7, -9.4), such that A - B + 3.8C = 0 What is the x…

A: Let the coordinates for point C be (x, y).For the given coordinates of A and B, vector…

Q: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

Q: If A=3i+7k and B= -1+2j+k. What is the angle between vectors A and B ?

A: The dot product of the two vectors can be calculated as,

Q: The coordinates of s of a moving body for various values of t are given (a) F(sec) 0 0.5 1.0 | 1.5 |…

Q: / The vectors A and B are given by A=-2î –3j and B = i -2j. nd 1.AxB and verify thatAxB =-BxÃ. 2.…

A: Given values:- A→=-2i^-3j^ ----(1) B→=i^-2j^ ----(2) (1) Let (R→) be the resultant value of A→×B→…

Q: The operation used to obtain a scalar from two vectors is

A: Dot product of two vector quantity gives a scalar quantity . Let 'a' and ' b' are two vector then…

Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

Q: If the vectors 6i- 2j + 3k, 2i + 3j - 6k and 3i+ 6j- 2k form a triangle, then it is (a) Right angled…

A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

Q: A train moves along a track at a steady 40 miles per hour from 8:00 A.M to 1:00 P.M. Graph the…

A: Answer: 1. Let the constant speed of the train be v and the distance traveled by the train in t time…

Q: Find the angle between vectors D = (2.0 i - 4.0 j + k) m , and B= ( -2.0 i +3.0j + 2.0 k ) m A.…

A: Given- D = (2.0 i - 4.0 j + k) m B= ( -2.0 i +3.0 j + 2.0 k ) m For finding angle we will use dot…

Q: Find the cross product A x C for (a) A = 2.01 - 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.01 =…

A: 1 )A→ = 2i^ - 4j^ + k^C→ = 3i^ + 4j^ + 10k^

Q: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: The cross product of j x i is a. 0 b.1 c. –k d. -1

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of…

A: The given vectors are, A=4i-3kB=-2i+2j-k

Q: Given two vectors A = 4.00 +7.00 and B=5.00 -2.00, find the vector product Ax B (expressed in unit…

A: Given: A→ = 4 i^ + 7 j^B→ = 5 i^ - 2 j^We have to find A→×B→ and A→×B→

Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

Q: What is the angle e between vectors Ã and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…

Q: Let B = 4.80 m at 60.0°. č and A have equal magnitudes. The direction angle of č is larger than that…

Q: What is the angle between the two vectors A = 2i + 3j and B = i- 2j is * A 0° 120° 90° 60°

Q: If the displacement of a point along x-axis is u = 3 mm and the displacement along y-axis is v = 2…

Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

Q: 1. Defermine directional derivative of z= x-2yat the point (3,2,1) in the direction of0=4. 2.…

A: The directional derivative of a function z=fx,y along the direction of a vector v→…

Q: Two points are given in polar coordinates by (r, ?) = (2.60 m, 50.0°) and (r, ?) = (3.00 m,…

Q: Suppose the vectors i, j,pand q are all unit vectors and the angle 0 = 131°. Find the cartesian…

A: Required : The force in p and q coordinates.

Q: Find the unit perpendicular to each of the vectors 2i – j + k and 3i + 4j – k, where I, j, k are…

Q: 70.0° You are given two Á = -3.00î + 6.00ĵ 2 vec- and 30.0° tors = 7.00î + 2.00ĵ. terclockwise…

Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

Q: 7) (2 pt) What is the magnitude of Á + B + Č, where Å = 1.00 i+ 4.00 i - 1.00 k, B = 3.00 î - 1.00 j…

A: C) 7.07

Q: The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to…

A: cartesian coordinate of a given point = (3,5)

Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

Q: Find the sum of the following four vectors (a) and (b) for x and y components respectively), and a…

Q: Given these vectors: A = (-4.8)î + (-2.7)ĵ + (6.4)k B = (-5.6)î + (-7.7)ĵ+ (9)k Find the value of…

Q: Consider two vectors A= 6.75 i+(-3.53 k) and B= (-4.1j)+1.08 k. Find the angle between these two…

Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

Q: Three vectors are given, what is 3C · (2A × B)? A = 2î + 33 – 4k B = -3î + 43 + 2k Č = 7î – 8ĵ

Q: What is the scalar and vector product of A and B respectively, if A =2.2 î+3.4 ĵ B=4.4 î+2.0 ĵ

Q: If vector A=2ax+ay+2az and vector B=2ax+ay+2az, the cross product of A and B is a. (0,0,0) b.…

A: A→ = 2ax + ay + 2azB→ = 2ax + ay + 2az

Q: 2)1F the Volume is egual to Zero ,then the all Vectors line in the same planc. a.T b.F

A: Given volume of parallelepiped formed by the vectors is zero

Q: Consider two vectors, A = 16.5 m at 48.0°, and B = (-12.7Î + 2.30j) m. %3D Determine the x and y…

A: The given vectors, A→=16.5 m at 48°B→=-12.7 i^+2.30 j^ m The x and y components of A vector,…

Q: For the vectors i and v given below, find u i, the hermitian products u into i and i into u', the…

Q: For the pair of vectors A = (6.00î + 4.00ĵ) and B = (9.0oî – 6.00ĵ) in the xy plane, determine the…

A: Part (a): The scalar product is calculated as, Therefore, the scalar product is 12 Part (b): The…

Q: Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB…

A: Given,

Q: Vector A = 2.00i+ 3.00j Newtons. Vector B = 4.00 i +1.00 j meters. What is the dot product of…

A: The given vector A and vector B are:

Question

Two vectors are given by
a
→
=
3.2
i
̂
+
5.5
j
̂
and
b
→
=
3.6
i
̂
+
3.4
j
̂
. Find (a)
|
a
→
×
b
→
|
, (b)
a
→
⋅
b
→
, (c)
(
a
→
+
b
→
)
⋅
b
→
, and (d) the component of
a
→
along the direction of
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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 5 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

Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured counterclockwise in degrees from the positive x-axis?
Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them when placed tail to tail is 45∘, what is u ⋅ v ?
What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?
What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?
If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of B on A, and the cosine of the angle between A and B.
Find the angle between vectors for the following. (Enter the smallest positive angle for each in degrees.) (a)D = (−5.0î − 8.0ĵ) m and A = (−8.0î + 8.0ĵ) m (b)C = (4.0î − 6.0ĵ + ) m and B = (−8.0î + 9.0ĵ + 8.0) m If D = (5.00î − 3.00ĵ) m, B = (−6.00î + 4.00ĵ) m and A = (16.0î − 12.0ĵ) m, find the unknown constants a and b such that aD + bB + A = 0. a= b=
Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the two vectors T and D is
Find the angle between the following pair of vectors; A=-4.00i + 2.00j and B = 7.00i + 14.00j
Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i, j and k are unit vectors:
Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that axis. Find angle θ for avector that has these components: Ax = 2.00 m, Ay = 1.00 m
Two points are given in polar coordinates by (r, θ) = (1.80 m, 50.0°) and (r, θ) = (4.00 m, −40.0°) , respectively. What is the distance between them?
Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗ =3.00i^+1.00j^−3.00k^B→=3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N^N^N_unit in the form NxNxN_x, NyNyN_y, NzNzN_z where the x, y, and z components are separated by commas.