7.7 Applications of Cross Product and Dot Product

Question 1

what to do when a word problems gives you displacement, force and an angle? what unit will the answer be?

Answer 1

convert the displacement into metres

use the formulas w=(f)(d)cos theta

the answer will be in joules

Question 2

torque

Answer 2

a twisting force that tends to cause rotation

Question 3

what to do when a word problem gives you force, length and an angle? what unit will the answer be?

Answer 3

magnitude of torque=(r)(f)(sin alpha)

the answer will be in joules

Question 4

how to find the area of a parrallelogram?

Answer 4

take the cross product of both the vectors given

take magnitude of cross product answer

Question 5

how to find the area of a triangle?

Answer 5

area of triangle= 1/2h|a cross product b|

Question 6

what to do when given force and displacement?

Answer 6

w=(f)(d)

Question 7

what to do when word problem gives, mass, displacement and angle for and object falling down?

Answer 7

g=9.8m/s^2

|f|=mg to get force

w=(r)(f)(costheta)