If vectors A- and B- are respectively equal to 3i-4j-5k and 2i-3j-4k- find the unit vector parallel to A-B-

The correct option is B 5i j+k3√(3) Let C⃗ =A⃗ +B⃗ = 5 î 1 ĵ + 1 k̂ & | C⃗ #160;| =√( 27 ) = 3√( 3 ) #160; Ĉ = 5 î 1 ĵ + 1 k̂ # ...

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Definition of Vector

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Question

If vectors $\to A$ and $\to B$ are respectively equal to $3 ˆ i - 4 ˆ j + 5 ˆ k$ and $2 ˆ i + 3 ˆ j - 4 ˆ k$ , find the unit vector parallel to $\to A + \to B$

5 ˆ i - ˆ j + ˆ k

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\frac{5 ˆ i - ˆ j + ˆ k}{3 \sqrt{3}}

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5 ˆ i + ˆ j - ˆ k

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\frac{5 ˆ i + ˆ j - ˆ k}{3 \sqrt{3}}

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\to a + \to b

\to a - \to b

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

A unit vector in the plane of the vectors 2i + j + k, i - j + k and orthogonal to 5i + 2j + 6k is

\to r \times \to b = \to c \times \to b & \to r, \to a = 0

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

\to r

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k} and 3 \hat{i} - 4 \hat{j} - 4 \hat{k}

\hat{i} + \hat{j} + \hat{k}, 2 \hat{i} + 3 \hat{j} - \hat{k} and - \hat{i} - 2 \hat{j} + 2 \hat{k}

5 ˆ i + 5 ˆ k, 2 ˆ i + ˆ j + 3 ˆ k

- 4 ˆ i + 3 ˆ j - ˆ k

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