Let a-i-2j-3k if b- is a vector such that a-b-b- and -a-b- -7- then -b-

B⃗ = xî + yĵ + zk̂ a⃗ = î 2ĵ + 3k̂ x 2y + 3z = x^2 + y^2 + z^2 (x 1)^2 + (y+2)^2 + (z 3)^2 = 7 x^2 2x + y^2 + 4y + z^2 6y = 7 x^2 + y^2 + z^2 (x ...

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Linear Combination of Vectors

Let a⃗=i+2j+3...

Question

Let $\to a = i + 2 j + 3 k$ if $\to b$ is a vector such that $\to a, \to b = | \to b |$ and $| \to a - \to b | = \sqrt{7}$ , then $| \to b | =$ ____________

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$\sqrt{7}$

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Solution

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Similar questions

\to a =^i - 2^j + 3^k

\to b

\to a . \to b = | \to b |^{2}

| \to a - \to b | = \sqrt{7}

| \to b | =

\to a

\to b

(\to a - \to b) \times [(\to b + \to a) \times (2 \to a + \to b)] = \to a + \to b

θ

\to a

\to b

\to a, \to b, \to c

\to a + \to b + \to c = \to 0

(\to a, \to b) = \frac{π}{3}

| \to a \times \to b | + | \to b \times \to c | + | \to c \times \to a | =

\to a = 2 i - 3 j, \to b = 2 j + 3 k,

(\to a + \to b) . (\to a - \to b) =

\to a, \to b, \to c

\to a \times \to b = \to c, \to b \times \to c = \to a, \to c \times \to a = \to b

| \to a | = | \to b | = | \to c |

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