If vector A- is of magnitude 6 and lies in the XZ plane at an angle of 30- with x-axis and vector B- of magnitude 4 and lies along the x-axis- then the vector A-B- is equal to -

The correct option is C 12 ĵ #10; #10; #10; #10; #10; #10; #10; #10; #160;A⃗×B⃗=AB sin θ n̂ #160; #160; #160; #160; #1 ...

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

If vector A...

Question

If vector $\to A$ is of magnitude 6 and lies in the XZ plane at an angle of $30^{\circ}$ with x-axis and vector $\to B$ of magnitude 4 and lies along the x-axis, then the vector $\to A \times \to B$ is equal to :

24^j

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12^j

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- 12^j

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Solution

The correct option is C $12^j$

$\to A \times \to B = A B s i n θ^n$
$= [(6) (4) s i n 30^{\circ}]^j = 12^j$

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If vector →A is of magnitude 6 and lies in the XZ plane at an angle of 30∘ with x-axis and vector →B of magnitude 4 and lies along the x-axis, then the vector →A×→B is equal to :

The correct option is C 12^j →A×→B=ABsin θ ^n =[(6)(4)sin30∘]^j=12^j

If vector $\to A$ is of magnitude 6 and lies in the XZ plane at an angle of $30^{\circ}$ with x-axis and vector $\to B$ of magnitude 4 and lies along the x-axis, then the vector $\to A \times \to B$ is equal to :

The correct option is C $12^j$

$\to A \times \to B = A B s i n θ^n$
$= [(6) (4) s i n 30^{\circ}]^j = 12^j$