2 m 2 m 4 m 3 m F= 630 N 4 m B

Q: The X component of vector A in the above figure is O a. 12 m O b. -7.22 m O c. 7.22 m.

A:

Q: 12. What is the unit vector for P= 2i - 3j + 5z7| (a) 0.227i - 0.472j + 0.714z (b) 0.100i – 0.150j +…

A: 11) torque = moment of force = τ= r x F = dLdt= d(IW)dt from right hand rule if moment is positive…

Q: Vector A = 4i. Different values for vector B are given below. Which does NOT make an angle of 60…

A:

Q: Given the vector, A = 2 i+ 8 j, determine the magnitude of 3A. Select one: A. 10.2 B. 5.7 C. 17.0 D.…

A: Given: A=2i+8j

Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +k The magnitude of 2Ñ – Mis A) 39.2 B) 7.07…

A:

Q: What is the sum of the vectors with components (0,-3) ad (-1,2)?   A. (-1,-1). B. (1,1) C. -2 D.…

A:

Q: The two vectors (3 m) – (7 m and (2 m + (3 m – (2 mk are in the same plane.. Which of the following…

A: Let A and B denote the two vectors in the same plane and C denotes the cross product of these…

Q: Identify which of the following vectors are perpendicular to C. Vector C 80* 20* -------- 70° 20 50*…

A:

Q: The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

A: The three vectors are given as V1 , V2 and V3.

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…

A:

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: Which is the position vector for point P? 个y 了。 十 -X R P -y A. 32 B. 51 + 43 C. -2 D. 31 – 63

A:

Q: Determine the magnitude of vector Q = 2i - 4j + 5k. a. 3√5 b. 6 c. √13 d. 5

A: Given data:  Vector Q = 2i - 4j + 5k Required: The magnitude of vector Q

Q: Find the x- and y-components of the three vectors in the figure below. Write them using 3…

A: Required concept: The x-component of a vector V is given by; xV=Vcosθ               (1) The…

Q: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

Q: Swing, swing. The vector in the figure has a magnitude of 40.0 [m] and makes an angle of 15.0° with…

A: Magnitude of the vector,=40 m Vector makes an angle of 15 degree with y axis

Q: vector magnitude (dynes,g.cm/s^2) direction f1 142,100 20 degree f2 102,900 105 degree f3…

A:

Q: Convert the following Vectors to a Unit Vector: A= 5.5m/s, 20° N of E B= 13.5 m/s, 67° S of E

A:

Q: For which of the following vectors is the magnitude of the vector equal to one of the components of…

A: Answer is vectors A and C.

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: Specify the coordinate direction angles of F1 and F2and express each force as a Cartesian vector.

A: The force F1 in the form of a Cartesian vector is given as, The coordinate direction angle of force…

Q: What is the angle between vector à = 4î + 2ĵ + 5k with x-axis? 53.4° O 172.6° O 41.7° O 72.6° O

A: Given data The vector equation of vector A is given as A→=4i^+2j^+5k^.

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,…

A:

Q: Determine the angle in degrees between vectors P & Q.   P = 13i −5j + 21k m Q = 12i+4k m

A:

Q: What is the equilibrant vector if you add all the vectors A, B, and C? A = 2i - 3j + 3k B = 4j +2i…

A:

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°…

A:

Q: 12. Two vectors are given as follows: A = 3i + 5j- 4k B = 3i + 4j + 2k The vector sum of two vectors…

A: Data  we have A→=3i^+5j^-4k^B→=3i^+4j^+2k^

Q: 24. Find the x- and y-components of the four vectors shown in the drawing. y4 y4 7.0 m 20.0° x 20.0°…

A: Given, Four vectors

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: If we have : A=-3i+5j-k B=i-j-3k Calculate a)the unit vector u in A direction b) magnitude of B c)…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: What is the magnitude of the vector, 12i – 8j – 24k, and the corresponding direction angles,…

A:

Q: The force F has a magnitude of 460 Ib and acts along the line AM where M is the midpoint of the…

A:

Q: Determine the unit vector in the direction of the force F k) Jse three significant figures for your…

A: given:

Q: Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figure…

A: The projection of force vector F on u-axis is,  Fu = F Cos θ -------(1)

Q: 9.7i + 4.6) and = 9.21 + 9.5). Find (a) a x B (10) .0( + B). Two vectors are given by d and (d) the…

A:

Q: The displacement vectors à and B shown in the Figure below both have magnitudes of 3 m. The…

A:

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: Two vectors lying in the xz plane are given by the equations A AxBis a. -7j 2i +3k and B-2k The…

A: The expression for the resultant of the cross product,

Q: 58. Find the unit vector of direction for the following vector quantities: (a) Force F = (3.0i – 2.0…

A:

Q: Find the angle between the vector (A=2i +j-2k) and the y-axis.

A: A = 2i^ + j^ - 2k^For y-axis, the vector is B = j^   A.B = 2i^ + j^ - 2k^ 0i^ + j^ + 0k^A.B = (2)…

Q: Problem 8: Consider two vectors A and B, expressed in unit vector notation as A = a¡i+ azj and B =…

A: Given: A=a1i + a2jB=b1i + b2 j

Q: Two vectors are given by á = 5.4i + 5.6j and b = 4.8i + 2.3). Find (a) a x b, (b)a · b,c)(d + b) .…

A: Given vectors: a→=5.4i^+5.6j^b→=4.8i^+2.3j^

Q: F5+F6+F7= -0.117i + 0.059j   what would be the polar coordinates of this vector.

A:

Q: Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and…

A: Given: First vector (v1)→ = 2i^ + 9j^ - 9k^ lbSecond vector (v2)→ = -2i^ - 6j^ + 8k^ lbThird vector…

Q: The force F has a magnitude of 540 N. Express F as a vector in terms of the unit vectors i and j.…

A: Given data: Force F = 540 N Angle θ=28o

Q: = -3i - 9 j, B = - 6i + 5 j and = 4i + 6 j 4. Given vectors Find: a) B + C b) C+ A c) 3 C- 2 B

A:

Q: ssume the three force vectors interest at a single point.  P1= i + 3j + 4k P2= 2i + 7j - k P3= -i +…

A: GivenP1= i + 3j + 4k P2= 2i + 7j - k P3= -i + 4j + 2k

Q: For which of the following vectors is the magnitude of the vector equal to one of the components of…

A: For a): Components are +2, +5 And magnitude is, For b): Component is -3 And magnitude is, For c):…

Q: Which of the following define the same vector? 1. 4 m/s@ 150° 2. 4 m/s 60° W of N 3. 4 m/s 30°N of W…

A:

Q: What unit vector is in the same direction as v = 2i - 4j?

A: The vector is given as v→=2i-4j

Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!