Find the value of a.(b+c)×(a+b+c) or a vector.(b vector +c vector)×(a vector+b vector+c vector) soln

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If a b c are unit vector such that a+b+c=0 find the vaue of a.b+b.c+c.a If a b c are unit vector such that a+b+c=0 find the vaue of a.b+b.c+c.a
If ` vec A, vec B and vec C` are mutually perpendicular vectors, then find the value of ` If ` vec A, vec B and vec C` are mutually perpendicular vectors, then find the value of `
[IIT 1986] Prove that a + b + c = 0 if vectors a, b, c satisfy a X b = b X c = c X a. [IIT 1986] Prove that a + b + c = 0 if vectors a, b, c satisfy a X b = b X c = c X a.
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If 𝐚, 𝐛 and 𝐜 are unit vectors such that 𝐚 + 𝐛 + 𝐜 = 0, then the value of 𝐚∙𝐛 + 𝐛∙𝐜 + 𝐜∙𝐚 is If 𝐚, 𝐛 and 𝐜 are unit vectors such that 𝐚 + 𝐛 + 𝐜 = 0, then the value of 𝐚∙𝐛 + 𝐛∙𝐜 + 𝐜∙𝐚 is
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If A, B and C are the vertices of a ∆ABC, then what is the value of VectorAB + VectorBC + VectorCA ? If A, B and C are the vertices of a ∆ABC, then what is the value of VectorAB + VectorBC + VectorCA ?
Walter Lewin explains the properties of vector cross product Walter Lewin explains the properties of vector cross product