When the tails of vector $A$ and $B$ is set at the origin of the $x y$ -axis, the head of $A$ is at $(3, 6)$ and the head of $B$ is at $(- 1, 5)$ . If the tail of vector $A - B$ were set at the origin of the $x y$ -axis, what point would its head touch?

(2, 11)

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(2, 1)

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(- 2, 7)

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(4, 1)

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(4, 11)

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Solution

The correct option is D $(4, 1)$
$\to A = 3^i + 6^j$ and $\to B = - 1^i + 5^j$
$∴$ $\to A - \to B = (3^i + 6^j) - (- 1^i + 5^j) = 4^i +^j$
Thus, its head touches the point $(4, 1)$ .

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When the tails of vector A and B is set at the origin of the xy-axis, the head of A is at (3,6) and the head of B is at (−1,5). If the tail of vector A−B were set at the origin of the xy-axis, what point would its head touch?

The correct option is D (4,1)→A=3^i+6^j and →B=−1^i+5^j∴ →A−→B=(3^i+6^j)−(−1^i+5^j)=4^i+^jThus, its head touches the point (4,1).

When the tails of vector $A$ and $B$ is set at the origin of the $x y$ -axis, the head of $A$ is at $(3, 6)$ and the head of $B$ is at $(- 1, 5)$ . If the tail of vector $A - B$ were set at the origin of the $x y$ -axis, what point would its head touch?

The correct option is D $(4, 1)$
$\to A = 3^i + 6^j$ and $\to B = - 1^i + 5^j$
$∴$ $\to A - \to B = (3^i + 6^j) - (- 1^i + 5^j) = 4^i +^j$
Thus, its head touches the point $(4, 1)$ .