# a ⃗,b ⃗,c ⃗are non-zero vectors. If a ⃗×b ⃗= a ⃗×c ⃗ and a ⃗ .b ⃗= a ⃗ .c ⃗ then show that b ⃗= c ⃗.

**Tutor description**

a ⃗,b ⃗,c ⃗are non-zero vectors. If a ⃗×b ⃗= a ⃗×c ⃗ and a ⃗ .b ⃗= a ⃗ .c ⃗ then show that b ⃗= c ⃗.

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