Question

Find vectors [a  b  c], when

i. a = 2i + j + 3k, b = -i + 2j + k and c = 3i + j + 2k

ii. a = 2i - 3j + 4k, b = i + 2j - k and c = 3i - j + 2k

iii. a = 2i - 3j, b = i + j - k and c = 3i - k

Answer 1

i. a = 2i + j + 3k, b = -i + 2j + k and c = 3i + j + 2k

Given Vectors :

Formulae :

1) Scalar Triple Product:

If

Answer :

For given vectors,

ii. a = 2i - 3j + 4k, b = i + 2j - k and c = 3i - j + 2k

Given Vectors :

Formulae :

1) Scalar Triple Product:

If

Answer :

For given vectors,

iii. a = 2i - 3j, b = i + j - k and c = 3i - k

Given Vectors :

Formulae :

1) Scalar Triple Product:

If

Answer :

For given vectors,