4-1. If A, B, and D are given vectors, prove the distributive law for the vector cross product, i.e., AX (B + D) = (A X B) + (A X D). %3D

Q: Forces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x…

A:

Q: 2. Given the vectors, compute the following: P=i +j+ 2k A. Scalar products 1. Q.S Q = 31 + 4j + 5k…

A:

Q: Q3: If the resultant force acting on the bracket is to be 800N directed along the positive xaxis,…

A:

Q: For the vectors shown, analytically determine the resultant R = A + B . A = 12 35⁰ B=8 30° 1

A:

Q: Given the Position vector R = 2i -j+ 3k (m) and the Force vector F = i +j+k (kN) Determine the angle…

A: Given Position vector = (2i – j + 3k)m Force vector = (i + j + k) kN To find Angle between the…

Q: The y-component of the resultant force is about

A:

Q: L15 m 3. The guy wires are used to support the telephone pole. Represent the force in each wire in…

A: Problem 3: Given, The magnitude of force 1, F1=MN N The magnitude of force 2, F2=FN N

Q: ind the resultant force vector,R, of the three vectors A,B, and C (.e., add the vectors), if the…

A:

Q: Z k j O a zero O b. i O c. -i O d. 1 Y From the definition of the cross product of vectors: jxj=

A: When the two vectors are multiplied with each other then in that case it is known as vector product.…

Q: What is the x-component of the resultant

A: To determine the X component of the resultant.

Q: 6) FIND THE MOMENT OF THE FORCE F ABOUT POINT A, USE VECTOR ANALYSIS. 19² 24" F = 650 lb 30" 15

A: Given:The force is .Consider an image below:

Q: The y-component of the resultant force is about F=400 N F= 200 N 90 150 F 300 N O 75.25N O 74.45 N…

A:

Q: Q1: a) Find the vector expression for F on AD, b) Find its projection along AC. 3 m D B DA T=4.2 KN…

A: TAB = 4.2 KN

Q: The A=2c +3-k, B = -3 +2k is 26 +55-3 k¿-53 -3k -53+3k -ċ-55 +3k Cross Product for the two Vectors a…

A:

Q: fA = 2i + 4 j - 5 k, the the direction of cosines of the vector A are *

A: Given data; A⇀=2i^+4j^+5k^therefore direction ratios of A are (2,4,-5)Direction cosines are given by…

Q: a:\ If A- 21 - 3j + k and B--i+3j+3k Find: 1- The angle between the two vectors. 2- Unit vector…

A: For solution refer below images.

Q: Find The Resultant F2 = 300N F1 = 200N %3D 45° 30°

A:

Q: Q1/ Given the vectors = 31 - j+k and 7=2i-3j+k, find the ix 7 product vector 7x7 and compare it with…

A: Given vectors are, u⇀=3i-j+kv⇀=2i-3j+ku⇀×v⇀=ijk3-112-31=2i-j-7k As,…

Q: 5- The mast is subjected to three forces shown. Determine all the coordinate direction angles of Fi…

A:

Q: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure…

A: Given

Q: 600 N 2) Determine the resultant R of the two forces shown by (a) applying the parallelogram rule…

A:

Q: Given the three vectors A = i, B = i- j, and C = k Find A.(BXC).

A:

Q: 5- The mast is subjected to three forces shown. Determine all the coordinate direction angles of F…

A:

Q: Determine the magnitude and direction of the resultant of the following forces: 50 N at 50…

A:

Q: 2- Find the value of F, if P=360N, a=15°, B=25°, and the resultant is acting along the X-аxis. Y α…

A: Given:P=360Nα=15οβ=25οFor equilibrium in Y…

Q: Given the Position vector R = 5i + 4j + 3k (m) and the Force vector F = 4i – 5j + 3k (kN) -…

A: Given, Position vector, R→=5 i+4 j+3 k  (m) Force vector, F→=4 i-5 j+3 k  (kN)

Q: Q5- Find w2 and angle a in a way to have a resultant force of zero at point o. w2 110 N 40 W1=250N

A:

Q: Q2: Find the sum of the vectors A and B which at the plane XY and are given coordinates: A= (2i +…

A: Given: A→=2i^+2j^ mB→=2i^+4j^ m