Calculating Vector Product of A and B

AI Thread Summary
The discussion centers on calculating the vector product of vectors A and B, defined as A = i + j and B = i + k. Participants suggest using the distributive law to expand the expression (i + j) x (i + k). The correct approach leads to the realization that i x i equals zero, while j x i and other components must be evaluated to find the final result. Ultimately, the correct answer for the vector product is determined to be i - j - k. The conversation concludes with the original poster expressing gratitude for the assistance received.
draotic
Messages
52
Reaction score
0

Homework Statement


Given A= i + j (caps) and B=i+k (caps)..what is the value of vector product of A and B?

Homework Equations


The Attempt at a Solution


....
i tried but can't get this one
 
Last edited:
Physics news on Phys.org
welcome to pf!

hi draotic! welcome to pf! :smile:

write it (i + j) x (i + k), and use the distributive law

(ie, expand the brackets! :wink:) …

what do you get? :smile:​
 


tiny-tim said:
hi draotic! welcome to pf! :smile:

write it (i + j) x (i + k), and use the distributive law

(ie, expand the brackets! :wink:) …

what do you get? :smile:​
thanx
but i still can't get it
opng brackets: i.i +i.k + j.k + j.i
i.i=0
wat now
please help :redface:
 
hi draotic! :smile:

(try using the B tag just above the Reply box :wink:)
draotic said:
opng brackets: i.i +i.k + j.k + j.i
i.i=0

that's right! :smile:

except of course, please use "x" for the vector product (the https://www.physicsforums.com/library.php?do=view_item&itemid=85" ), and "." for the scalar product (the dot product )

i x i = 0

j x i = -i x j = … ? :wink:​
 
Last edited by a moderator:
tiny-tim said:
hi draotic! :smile:

(try using the B tag just above the Reply box :wink:)


that's right! :smile:

except of course, please use "x" for the vector product (the https://www.physicsforums.com/library.php?do=view_item&itemid=85" ), and "." for the scalar product (the dot product )

i x i = 0

j x i = -i x j = … ? :wink:​

can u hlp me to convert this cross product in i j k form?
 
Last edited by a moderator:
Last edited by a moderator:

Similar threads

Are Orthogonal Vectors Proven by Derivative and Dot Product?
Replies
4
Views
2K
Writing a vector parallel and normal to a unit vector ##\hat n##
Replies
26
Views
1K
Finding the Scalar Triple Product of Three Vectors
Replies
2
Views
1K
Difference between scalar and cross product
Replies
5
Views
1K
Magnetic moment and magnetic field and dot product
Replies
13
Views
2K
Help with unit vector for a magnetic field
Replies
5
Views
2K
Generalized coordinates- scalar product
Replies
1
Views
1K
The derivative of the dot product "distributes" over each vector
Replies
5
Views
703
How Do Dot Products Reflect Vector Projections?
Replies
1
Views
2K
How Do Four-Vectors with Orthogonal Dot Products Determine Each Other's Nature?
Replies
16
Views
1K

Hot Threads

Recent Insights

Back
Top