The calculation of space vector In the known parallelepiped abcd-a'b'c'd ', ab = a, ad = B, AA' = C, ∠ bad = α, ∠ baa '= β, ∠ DAA' = γ, a, B, C, α, β, γ are used to denote the length of diagonal AC '

The calculation of space vector In the known parallelepiped abcd-a'b'c'd ', ab = a, ad = B, AA' = C, ∠ bad = α, ∠ baa '= β, ∠ DAA' = γ, a, B, C, α, β, γ are used to denote the length of diagonal AC '

Solution: ∵ vector AC '= vector a + vector B + vector C
| vector AC '| = √ (A & sup2; + B & sup2; + C & sup2; + 2abcos α + 2accos β + 2bccos γ)