Question

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if a = 5i - j -3k and b= i+3j-5k, then show that the vectors a+b and a-b are perpendicular

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Answer 1

Answer:

pls ans fast

Explanation:

chose the incorrect statement from the following regarding magnetic lines of field.

a) The direction of magnetic field at point is taken to be the direction of in which the north pole of a magnetic compass needle points

b) magnetic field lines are closed curves.

c) if magnetic field lines are parallel and equal equidistant, they represent zero field strength

d) relative strength of magnetic field is shown by the degree of closeness of the field lines

Answer 2

$\tt\huge\purple{hello!!!}$

HERE IS UR ANSWER

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Given

a = 5i - j -3k and

b= i+3j-5k

To prove

The condition of two vectors are to be perpendicular to each other if dot product of two vectors is zero.

i.e, A.B=0

Proof

A=a+b=6i+2j-8k

B=a-b=4i-4j+2k

LHS

A.B=(6i+2j-8k).(4i-4j+2k)

◇In scalar product ◇

$\fbox{(i.i=1,j.j=1,k.k=1}$

$\fbox{Also,i.j=0,j.k=0,k.i=0}$

= 24-8-16

= 0

RHS

=0

$\bold\pink{hence\:proved!!}$

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