Question

Answer the questions in the attachment​

Answer 1

QuestioN :

If vector P = ai + aj + 3k and Q = ai - 2j - k are perpendicular to each other, then the positive value of a is

GiveN :

• P = ai + aj + 3k

• Q = ai - 2j - k

To FiNd :

• The positive value of a is

ANswer :

The positive value of a is 3

SolutioN :

Condition for perpendicular

          P   -   Q   =  0

(ai + aj + 3k)  -  (ai - 2j - k )  =  0

         $a^{2} -2a-3=0$

      ⇒ (a-3) (a+1) = 0

             ⇒ a = 3, -1

        ⇒ a = 3

So,

Positive a = 3

∴Hence, The positive value of a is 3

Answer 2

Step-by-step explanation:

the answer is in the attachment