Vector Cross Product Magnitude (Jee Mains)

Scalar and Vector Products

Medium

Vector Cross Product Magnitude

Let $\vec a = - \hat i + 2\hat j + 2\hat k,$ $\vec b = 8\hat i + 7\hat j - 3\hat k$ and $\vec c$ be a vector such that $\vec a \times \vec c = \vec b$ . If $\vec c.(\hat i + \hat j + \hat k)$ = 4, then $|\vec a + \vec c{|^2}$ is equal to :

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