Question

    Let a=i+j​+k, b=2i+j​−k, and c=a×b. The angle

    between c and a is:
    A Correct Answer Incorrect Answer
    B 45° Correct Answer Incorrect Answer
    C 60° Correct Answer Incorrect Answer
    D 90° Correct Answer Incorrect Answer

    Solution

    Given the vectors: a=i+j​+k b=2i+j​–k c=a×b First, let's find the cross-product c=a×b: Since the dot product a ⋅ c =0, the vectors a and c are orthogonal (perpendicular). Therefore, the angle θ between c and a is π/2 ​ or 90 degrees.

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