If a is a unit vector such that x-a- x-a-3- Find x-

(x⃗ a⃗) (x⃗ + a⃗) = 3 x⃗.x⃗ + x⃗.a⃗ a⃗.x⃗ a⃗.a⃗ = 3 |⃗x⃗|⃗^2 |⃗a⃗|⃗^2 = 3 |⃗x⃗|⃗^2 1 = 3 |⃗x⃗|⃗ ...

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Multiplication with Vectors

If a is a uni...

Question

If a is a unit vector such that $(\to x - \to a)$ . $(\to x + \to a) = 3$ . Find $(x)$ .

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| \to x |

\to a, (\to x - \to a) \cdot (\to x + \to a) = 12

\to a

\to b

\to x

\to x

\to b

\to a

\to x

β \to b - \frac{1}{{∣ ∣ \to b ∣ ∣}^{2}}

\to a

\to b

β

\to x, \to y, \to z

\to x + \to y + \to z = \to a

(\to x \times \to y) \times \to z = \to b

\to a \cdot \to x = \frac{3}{2}, \to a \cdot \to y = \frac{7}{4}

| \to a | = 2,

\to x = \to x \times \to a + \to b

\to x, \to y

\to z

\to x + \to y + \to z = \to a, \to x \times (\to y \times \to z) = \to b, (\to x \times \to y) \times \to z = \to c

\to a \cdot \to x = \frac{3}{2}, \to a \cdot \to y = \frac{7}{4}

| \to a | = 2

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