Question

Given v1 = 5i+2j and v2 = ai -6j are
perpendicular to each other, determine the
value of a.
Ans:
Ans: 12/5​

Answer 1

Answer:

12/5

Explanation:

Dot product of two perpendicular vectors is zero.

So,

|v1 • v2| = 0

5a - 12 = 0

5a = 12

a = 12/5

Answer 2

Answer:

$a=\dfrac{12}{5}$

Explanation:

Given that,

Vector 1, $v_1=5i+2j$

Vector 2, $v_2=ai-6j$

We need to find the value of a if the above two vectors are perpendicular to each other. For two perpendicular vectors,

A.B = 0

$(5i+2j).(ai-6j)=0$

We know that, i.i = j.j = k.k = 1

So, 5 a - 12 = 0

$a=\dfrac{12}{5}$

Hence, this is the required solution.