EOL 3Find the angle between m and n if:2-1a m =-1and n =3b m= 2j – k and n=i+ 2k-12

m=2-1-1 & n=-132 Now, m·n=2-1-1·-132=2-1+-13+-12=-2-3-2=-7 & m=22+-12+-12=6 n=-12+32+22=14…

Answered: Find the angle between m and n if: and…

Math

Calculus

Find the angle between m and n if: and n = b m = 2j – k and n =i+ 2k a m = -1 2

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter1: Line And Angle Relationships

Section1.CT: Test

Problem 15CT

See similar textbooks

Related questions

Q: Find the value of A which is defined as the angle between i+j and j+ k.

Q: Assume that ||v|| = 2, ||w|| = 3, and the angle between v and w is120◦. Determine: v · w

A: Given,||v||=2,||w||=3,and angle between v and w is 1200. To find:v.w Solution: We know, dot product…

Q: Which pair of angles below are coterminal? and 27T 6 b. 3 and 197 4 and 13 27 C. d., and * 3m 2

Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

Q: In the figure, KJ and KM are opposite rays, and KN bisects ZJKL. If mzJKN = 8x – 13, and mzNKL = 6x…

Q: If 0 is the angle between the planes x - y+2z 1 and 2x +y+ z = 4, then tan (0) %3D а. 3 b. 2 с. 14…

Q: Use the Angle-Side Relationship Theorem and the figure below to order the side lengths from shortest…

Q: Find the measure of each angle. 3x 2x K M N mZK mZL = MZKML = MZLMN

A: Sum of measurement of angles of a triangle is 180 degree

Q: Given: ZC and ZR are right angles. AB = PQ ZB = ZQ

Q: Lines C and D below are cut by transversal, t. Which of the following is true about the angles…

A: Given, line C and D are cut by transversal t. To find: Which of the following is true about the…

Q: NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v =…

A: w=(152229,-1229)=(15229458,-229229)

Q: Given: ZM is a right angle in ANMQ (not shown); mZN = 57° Find: m¿Q %3D

A: It is given that, The △NMQ is right angled at M i. e. ∠M=90° The angle ∠N=57° The corresponding…

Q: let U =5i +12 j and V= -4ij and find the follawing. what is the angle between D and V to the a…

Q: D. Find the smallest positive angle that is coterminal with the following angles: 15z 1. 6 14x 2. 5

A: Two angles are in coterminal if they are drawn in such a way that both have same intial and terminal…

Q: For numbers 11-14 consider trapezoid LOAF . L V E F 11. If LF = OA , which angle is congruent to…

Q: Given a right ALHT with right angle at H, then mLT 30° and LT 18cm, 8. Find LH. %3D а. 9 ст b. 9/3…

Q: 9. Work out the angles marked x, y and z. 44 51 46 O62 B A

A: Answer

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

Q: Find u v, where 0 is the angle between u and v. ||u|| = 70, ||v || = 200, e =

A: We have to evaluate u.v Using formula U.V =||U|| ||V|| cos (theta)

Q: If QN bisects ZPOR and Nis the midpoint of PR classify each triíangle by its angles and sides. a.…

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v|| = 14, 0 = - 3

A: This problem can be solved by directly putting given values in the formula for the dot (or scalar)…

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v || = 64, 0 4

A: Directly use the formula for dot product of two vector and simplify the result.

Q: T IS R ZS is a right angle. SR = 9 and mZT= 74°. Find ST.

A: Answer is given in next step.

Q: f ZA and ZB are complementary angles and mZA = 22°, find mZB. %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If ZN and ZP are supplementary angles, m/N = (x + 3) and m/P = (7x-15)', find m/P. %3D

A: supplementary angles are those angles whose sum is equal to 180 degrees.

Q: If i x ũ = i- 3j – 4k, and i · w = 3, and 0 is the angle between õ and u, then (a) tan 0 = (b) ө

Q: Show that the two triangles are similar. Q P and ZN Z Nv, so ALvQ AMNP QLN QNL MPN MNP NMP

A: Two triangles △LNW and △MNP are shown in the figure given in the problem. From the figure, LQ||MP…

Q: Does AD lie in plane M?

Q: P is a point on BC of the triangle ABC such that AB = AC = BP. If PA = PC, find the measure of angle…

A: The triangle ABC is shown below.

Q: Find the measures of each of these angles. a) mZa%3D %3D b) mZb%3D %3D c) mzc = d)'mzd D e) mZe =

A: We will solve the following.

Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is A: 0° B: 45° C:84° D:34°

A: we have to find the angle between the two given planes

Q: c. Name two angles that are supplements of ZT T. Q R ZS and T O LS and ZQ O ZRand 2Q O LR and S

Q: Determine angle x and y thank you

Q: & In ARST, RT= ST, mZR (9x +2)'. mZS(13x-18), and mZT (17x+1), find xand the measure of each angle.…

Q: 4. Work out the angles marked x, y and z. A 57 B. 53 D A 53 C.

Q: АР Given: ZC and ZR are right angles. AC = PR BC = QR Prove: AABC = APQR C R

Q: T and Q are the midpoints of the legs, SU and RV, of trapezoid RSUV. If UV = 12 and QT = 20, what is…

A: Find RS

Q: wen angle b) mZl=83° mZ1 =

Q: Assuming t // u, name the two pairs of alternate exterior angles. 4. 7. 8. O 21 and Z8; 2 and Z7 O…

A: Concept: Angle on the opposite sides of a transversal and outside two lines are called Alternate…

Q: Find a positive angle less than 360° or 2n that is coterminal with the given angle. - 907° O A. 173°…

Q: 225 106" В B. A, A,

A: Given - Geometrical Figures To Find - Angles

Q: Use the Exterior Angle Theorem to find the missing angles below: R V. 24 B 60 A 136 M U W. Angle A…

Q: Find the measure of each angle. 3x 9x ..... O A. 3x 30°, 9x 150° O B. 3x=45°, 9x 135° O C. 3x 15°,…

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: (7) Find the angles between the following lines (a) r = į – 2j +X(į – j) and r = 2į – 6j + µ(į –…

Q: Find the largest angle of ARST. Assume that p is a positive number. 10p R. 9p 7p 7.

A: Given: ∆RST and the sides of the triangle are r=9p, s=10p, t=7p and p is a positive number. To find…

Q: Determine the direction cosines and direction angles for Ā = Given Ü = 7î - j + k and W = -2î – 5ĵ +…

A: Note: ProjW→U→ and ProjU→W→ are mistakenly given as ProjW→V→ and ProjV→W→. Given: A→=4,-3,1.…

Q: Given the four sides of quadrilateral: a = 12 cm, b = 16 cm, c = 18 cm, and d = 14 cm. The sum of…

Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45 2.플 3n 5. 270" 3. - Sn 6. 330°

Q: Let u=2i+7j and v=3i+j. Find the angle (in degrees) between u and v.

Question

EOL 3
Find the angle between m and n if:
2
-1
a m =
-1
and n =
3
b m= 2j – k and n=i+ 2k
-1
2

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

a. Given,

VIEW

b. Given,

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Angle Between Two Vectors$

Learn more about

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

Similar questions

Find the values of x and y. 3x-2yi=2+x+yi
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
Which of the following ordered pairs are solutions to 2x+3y=6? (a)(3,0) (b) (2,0) (d) (6,2)
In the figure, A-B-C. If AB=x, BC=x+7, and AC=4x-3 find x.
Find the three angles of the triangle whose sides have lengths a=6 centimeters, b=8 centimeters, and c=12 centimeters.