★ Explain :-
cross product or vector product of two vectors ★
Answers
Answered by
6
HEY friend your answer is
The cross product a × b is defined as avector c that is perpendicular (orthogonal) to both a and b, with a direction given by the right-hand rule and a magnitude equal to the area ofthe parallelogram that the vectorsspan.
I HOPE HELP U
The cross product a × b is defined as avector c that is perpendicular (orthogonal) to both a and b, with a direction given by the right-hand rule and a magnitude equal to the area ofthe parallelogram that the vectorsspan.
I HOPE HELP U
Answered by
34
Heya.....!!!
_________________________
♦ Cross Product / Vector Product ♦
=> Cross product :- When multiplication of two vectors is a vector then such type of product is called " Vector Product " Or " Cross Product ".
=> Cross product is represented as :- a × b = c
(( a , b and c are vectors ))
=> The direction of cross product is ( c = a × b ) is determined according to " Right Hand Thumb Rule " .
** Important Points regarding Vector Product **
=> the vector product of two perpendicular vectors that is ' a' is perpendicular to' b ' and angle say alpha ( @ ) ,, @ = 90°
:- | a× b | = | a | | b | sin90° = ab .
=> Vector product of 2 similar unit vector is 0 .
• i × i = 0
• j × j = 0
• k × k = 0
[ here i , j and k are unit vectors ] .
=> Vector product of 2 perpendicular unit vectors is a unit vector .
• i × j = k ,, j × i = - k
• j × k = i ,, k × j = - i
• k × i = j ,, i × k = - j
==============================
Hope It helps You. ☺
_________________________
♦ Cross Product / Vector Product ♦
=> Cross product :- When multiplication of two vectors is a vector then such type of product is called " Vector Product " Or " Cross Product ".
=> Cross product is represented as :- a × b = c
(( a , b and c are vectors ))
=> The direction of cross product is ( c = a × b ) is determined according to " Right Hand Thumb Rule " .
** Important Points regarding Vector Product **
=> the vector product of two perpendicular vectors that is ' a' is perpendicular to' b ' and angle say alpha ( @ ) ,, @ = 90°
:- | a× b | = | a | | b | sin90° = ab .
=> Vector product of 2 similar unit vector is 0 .
• i × i = 0
• j × j = 0
• k × k = 0
[ here i , j and k are unit vectors ] .
=> Vector product of 2 perpendicular unit vectors is a unit vector .
• i × j = k ,, j × i = - k
• j × k = i ,, k × j = - i
• k × i = j ,, i × k = - j
==============================
Hope It helps You. ☺
rohit710:
Thanks bhai ^_^
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