Question

If a, b are two perpendicular vectors a= 5i+7j-3k, b=2i+2j-ck

Answer 1

c=-24/3 =-8 as a.b =0 WHEN two vectors r perpendicular

Answer 2

The value of c is -8.

Given,

Two perpendicular vectors a= 5i+7j-3k and b=2i+2j-ck.

To Find,

The value of c.

Solution,

Since the two vectors are perpendicular so their dot product will be equal to zero.

So,

The value of a.b = 0 =

Now, calculating a.b

The two given vectors are a= 5i+7j-3k and b=2i+2j-ck.

So,

a.b = 5(2)+7(2)-(3)(-c)

0 = 10+14+3c

24+3c = 0

3c = -24

c = -24/3 = -8.

Hence, the value of c is -8.

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