11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, andC=2i-2j-k, where i, j, k are mutually perpendicular unit vectors.(i) Calculate A.B and show that A and B are perpendicular to eachother(ii) Find the magnitude and the direction cosines of the productvector (AXB)

Answered: 11. A, B, C are vectors defined by A =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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(1a)If two vectors, P and Q, have an included angle (angle between) of theta, then the dot product of P and Q could be defined as: Group of answer choices PQ sin(theta) PQ cos(theta) PQ tan(theta) PQ sec(theta) (B) The dot product can be used to find all of the following except_____: Group of answer choices the sum of two vectors the angle between the two vectors the portion of one vector parallel to another the portion of one vector perpendicular to another
Eliminate the arbitrary constants c, and c2 from the relation y = c,e-2* + cz edx.
Determine the location of the GEOMETRIC CENTROID and PLASTIC CENTROID. Use fc' = 27.6 MPa and fy = 414 MPa (3) T 350 150 dpe 300 3N28 2N28 + 500 330 -455 145
Read the question carefully.
2. Furid all values f a, b and c in order for A to be nymmetric. 7 a+b-c a -b A = 4 6 2a -b-C 4
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN
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Incorrect. Let a = ci +j and b = 6i + 8j. Find c so that the angle between a and b is-. Round your answers to four decimal places and enter the values in increasing order. C1 = i 2.3140 C2 = i 0.1204

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11. A, B, C are vectors defined by A = 8i + 2j- 3k, B = 3i-6j+ 4k, and C=2i-2j-k, where i, j, k are mutually perpendicular unit vectors. (i) Calculate A.B and show that A and B are perpendicular to each other (ii) Find the magnitude and the direction cosines of the product vector (AXB)