Question

Find a if vector A= 3i^ -2j^+4k^and vector B= ai^+2j^-k^ are perpendicular to each other.

Answer 1

I : If the vectors a =(1,x,−2) , b =(x,3,−4) are mutually perpendicular, then x=2. II : If a =i^+2j^​+3k^,b =−i^+2j^​+k^,c =3i^+j^​ and a +tb is perpendicular to c then t=5.

Hope it helps

Answer 2

Value of a = 8/3

Explanation:

• Given two vectors are perpendicular to each other so their dot product must be zero, as cos 90°= 0
• dot product of two vector is given as

                                  A. B= AB cos∅

                                  3a-4-4=0

                                  3a = 8

                                  a = 8/3

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