Question

the component of a along b is root 3 times that of the component of b along a. then is a : b is​

Answer 1

the component of a along b is root 3 times that of the component of b along a. then is a : b is...

concept : if two vectors a and b are given such that angle between them is α.

then, component of a along b = |a|cosα

and component of b along a = |b|cosα

given,

component of a along b = √3 × component of b along a

or, |a|cosα = √3|b|cosα

or, |a| = √3|b|

or, |a|/|b| = √3/1

hence, ratio of a and b is √3 : 1.

Answer 2

Answer:

the component of a along b is root 3 times that of the component of b along a. then is a : b is...

concept : if two vectors a and b are given such that angle between them is α.

then, component of a along b = |a|cosα

and component of b along a = |b|cosα

given,

component of a along b = √3 × component of b along a

or, |a|cosα = √3|b|cosα

or, |a| = √3|b|

or, |a|/|b| = √3/1

hence, ratio of a and b is √3 : 1.

Explanation: