Mark the correct alternative in each of the following:
If in a Δ ABC, A ≡ (0, 0), B ≡ (3, 3, √3), C ≡ (–3, √3, 3), then the vector of magnitude units directed along AO, where O is the circumcentre of Δ ABC is

Question

Philoid · Accepted Answer

Slope of a line joining two points

Slope of AC

Slope of AB

Product of Slopes (AC AB) =

= -1

As the Product of Slopes (AC AB) = -1, so AC ⟘ AB, ie.., CAB = 90°.

Circumcentre (O) of Triangle ABC = Mid-Point of BC

Mid-Point of BC =

Now,

Unit Vector

Vector along , whose magnitude is

Option (A) is the answer.

Mark the correct alternative in each of the following:If in a Δ ABC, A ≡ (0, 0), B ≡ (3, 3, √3), C ≡ (–3, √3, 3), then the vector of magnitude units directed along AO, where O is the circumcentre of Δ ABC is