Physics, asked by esm1a5kokila, 1 year ago

16. Prove that the rectangular components of two equal vectors must be equal to each other.

Answers

Answered by Vinithsai
9
When a vector is splitted into three component vectors at right angle to each other, the component vectors are called rectangular components of a vector. Consider two vectors A ⃗ and B ⃗ in x,y and z plane, so their component vectors will be, A ⃗ =Ax i ˆ +Ay j ˆ +Az k ˆ and B ⃗ =Bx i ˆ +By j ˆ +Bz k ˆ We know that two vectors are said to be equal if they have equal magnitude and same direction. If the two vectors A ⃗ and B ⃗ are represented by two equal parallel lines drawn with same scale, having arrow heads in the same direction, then A ⃗ and B ⃗ are equal vectors i.e., A ⃗ = B ⃗ or, Ax i ˆ +Ay j ˆ +Az k ˆ =Bx i ˆ +By j ˆ +Bz k ˆ

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Answered by sandeepsunny123
14
When a vector is splitted into three component vectors at right angle to each other, the component vectors are called rectangular components of a vector. Consider two vectors A ⃗ and B ⃗ in x,y and z plane, so their component vectors will be, A ⃗ =Ax i ˆ +Ay j ˆ +Az k ˆ and B ⃗ =Bx i ˆ +By j ˆ +Bz k ˆ We know that two vectors are said to be equal if they have equal magnitude and same direction. If the two vectors A ⃗ and B ⃗ are represented by two equal parallel lines drawn with same scale, having arrow heads in the same direction, then A ⃗ and B ⃗ are equal vectors i.e., A ⃗ = B ⃗ or, Ax i ˆ +Ay j ˆ +Az k ˆ =Bx i ˆ +By j ˆ +Bz k ˆ

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