7.YA60°A = 10.030°B30°53°D 20.037°C = 12.010F = 20.0B = 5.0 % Part (d) Find the following vector product Ax (F + 2C ).+2T) = - 240 k9.HOMEk1^ 46.d13mnENDyVOI BACKSPACECLEARDELSubmitI give up!12

Answered: Find the following vector product A x…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

7.
YA
60°
A = 10.0
30°
B
30°
53°
D 20.0
37°
C = 12.0
10
F = 20.0
B = 5.0

% Part (d) Find the following vector product Ax (F + 2C ).
+2T) = - 240 k
9.
HOME
k
1^ 4
6.
d
1
3
m
n
END
y
VOI BACKSPACE
CLEAR
DEL
Submit
I give up!
12

Expert Solution

FORMULA:

We can find the cross product of two vectors using the determinant of the matrix as given below.

A = ai + bj + ck

B = xi + yj + zk

Thus,

$A \times B = | \begin{matrix} i & j & k \\ a & b & c \\ x & y & z \end{matrix} |$

A × B = (bz – cy)i – (az – cx)j + (ay – bx)k

= (bz – cy)i + (cx – az)j + (ay – bx)k

Using the right-hand rule, we can determine the direction of the unit vector. In this rule, we can stretch our right hand so that the index finger is pointing in the first vector and the middle finger is pointing in the second vector. The right hand's thumb then represents the direction or unit vector n. We may simply demonstrate that the cross product of vectors is not commutative using the right-hand rule.

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