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Definition of Vector

8. If a, b , ...

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8. If a, b , c and d are non-coplanar vectors , then d. (a(b(cd))) is equal to _______.

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A, B

c

are three non-coplanar vectors, then

(A + B + C) . [(A + B) \times (A + C)]

a, b, c

are three non-coplanar vectors, then

(a + b + c) \cdot ((a + b) \times (a + c))

a, b, c

are three non coplanar, non zero vectors, then

(a . a) b \times c + (a . b) c \times a + (a . c) a \times b

Q. If non-zero vectors

\to a

\to b

are equally inclined to coplanar vector

\to c

\to c

\to a, \to b, \to c

are non-coplanar vectors and

^d

is a unit vector, then the value of

∣ ∣ ∣ (\to a .^d) (\to b \times \to c) + (\to b .^d) (\to c \times \to a) + (\to c .^d) (\to a \times \to b) ∣ ∣ ∣

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