Given A = 10ay + 3az and B = 4ay + 5az, the projection of A on B а. 6.5 b. 6 С. 6.75 d. 6.25

Q: 1.67 Determine the orthogonal component of C = r x F in the direction of the 100j + 500k N, and unit…

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Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AX B) · (CX B) d)…

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Q: #3. A & B. how to work the problem out?

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Q: In each case, find the x- and y-components of vector A: (a) A=5.0 – 6.3;: (6) Å = 11.2j – 991f; () À…

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Q: 4) Two vectors, A= 2x 3y and B= 4x 4y. The magnitude of A+B is: A) 4.3 B) 5.1 C) 7.8 D) 6.4 E) 9.2

A: A→=2x^-3y^B→=4x^-4y^where x^ and y^ are unit vectors along x and y directionso…

Q: 9.) Given fhece vectors : = (3.9) Î tE3.D; + C2) R 3= (-8.5) Î + (a)? + (42) k ヌ: find fhe value q…

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Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

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Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).

A: The difference vector between the two vectors is,

Q: hat is the y component of 40 N, 32° west of north?       a. (+) 21.20 N       b. (–) 21.20 N…

A: 320 west of north is in second quadrant and this angle is with +y-axis

Q: If AxB = 3 A.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 076.0

A: Given : |A→×B→| = 3A→.B→       .....(1)To find :Angle between the vectors A→ and B→

Q: A plane intersects the a1,a2 and a3 axes at .5 -3, 0,and 2, its Miller indices are (а. (-3 02 О (b.…

A: Steps to calculate the Miller indices: Determine the intercepts of the face along the…

Q: Calculate the angle between the vectors: Ã= 6.11-3.0j-6.8k and B = 8.3i+2.9j-6.7k. %3D

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Q: Two vectors A= 17 - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A: Given:- vector,  A=i∧ -2j∧                              B=2i∧+3j∧Mutliply  by -3  in vector  A then…

Q: From the followng equations x=1.125t + 0.0931 y= -4.9807t2 + 2.3917t + 0.2347: What is the intial…

A: Given data *The first given equation is x = 1.125t + 0.0931 *The second given equation is y =…

Q: Given three vectors A = -78 +93 – 4k,B = -6î + 33 + 12k and C = 152 – 47 + 7k which of the following…

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Q: Given the following vectors: Then, (A-2B)xC is: A. 9.8 B. 2.45 C. 44.4 D. 22.6 E. 3.7

A: Concept:- the magnitude of any vector A→ = xi^ + yj^ + zk^is given byA→ = x2+y2+z2

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: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

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Q: Two vectors A = 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

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Q: Given A = ax - 3ay -6az, the projection of A along ay is а. -3 b. -6 С. 3 d. 1

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Q: 3 = 37 + 4ĵ +5k and M = 31 +4ĵ +5k js; The angle made by the two vectors

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Q: From the table below, find the resultant (magnitude and direction) of J and D. A = 15 at 270°…

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Q: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: What is the resultant of vector A=2i +3j, and vector B=3i -2j Select one: a. 3.5 b. 2 C. 5/2 o d.…

A: Given : Vector A = 2i + 3j Vector B = 3i - 2j

Q: What is the resultant of vector A=2i +2j, and vector B= -2i+1j :Select one а. 5V2 b. 3 c. 3.5 d. 2…

A: Given : A=2i+2j B=-2i+j We have to find the resultant of these vectors.

Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: Find the angle between the vectors A = and B = . (a) 50.0 (b) 178 (c) 120 (d) 98.0

A: Vector A  = -4i -2j Vector B = 3i + 1j

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: 8. Vectors A and B are shown below. What is -5.00A + 4.00B ? B 5 4 3 -2 2 3 4 $z A

A: The position vector A will be, A→=-3i⏜-3j⏜ The position vector B will be, B→=-2i⏜+4j⏜

Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

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

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

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

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

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Q: 38 ao For the following three vectors, what is 3C (2Ā × B)? A = 2.00i + 3.00 – 4.00k B = -3.00i +…

A: The three vectors,

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

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Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Q: A- 10.0 at 30° above the +x-axis; B = 12.0 at 60° above the +x-axis; and C - 15.0 at 50 ° below…

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Q: If S = (1 m) i + (2 m) j + (2 m) k and T = (3 m) i + (4 m) k, the angle between the two vectors a)…

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

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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: Determine the magnitude and direction of: R = Ã + B + č if: Ā = (3î – 35)m, B = (î – 4j)m, and Č =…

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Q: You have two vectors. Vector A = 32 +43 and vector B = 62-53 of 3A + 2B? What is the y-component of…

A: X component of given vectors is Co-efficient of i^ of respective vector  Similarly, Y component of…

Q: A = 2î + 33+ k B = -4î + 2j– k C = 2î – 3j + 4k a) (AX B) · č b) (BX A) ) (AX E) · (CX B) d) Angle…

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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…

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

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

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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: What is the angle between the following vectors? A =-2i + 3} B = 31 - 4) %3D O 1770 O 1370 87

A: Two vectorsA→=-2i→+3j→B→=3i→-4j→To find:Angle between the vectors, θ=?