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Algebra
Question

Which of the following statements are always true ...

Which of the following statements are always true for vectors in \( R ^ { 3 } \) ? 

(i) If \( u \cdot ( v \times w ) = 4 \) then \( w \cdot ( v \times u ) = - 4 \) 

(ii) \( ( 7 u + v ) \times ( u + 5 v ) = 34 ( u \times v ) \) 

(iii) If \( u \) is orthogonal to \( v \) and \( w \) then \( u \) is also orthogonal to \( \| w \| v + \| v \| u\) 

(A) (i) only 

(B) (i) and (ii) only 

(C) (iii) only 

(D) (i) and (iii) only 

(E) none of them 

(F) (ii) only 

(G) (ii) and (iii) only 

(H) all of them 

Answer

(H)

Solution
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