The diagram shows a scalene triangle, ABC, with vectors −−→AB=^a and −−→AC=2^b. The point D is positioned on the line BC such that BD:DC=3:2. The point E is positioned on the line AD such that AE:ED=1:2. The expression for the vector −−→AE in terms of ^a and ^b is

The diagram shows a scalene triangle, ABC, with vectors −−→AB=^a

1.	The diagram shows a scalene triangle, ABC, with vectors −−→AB=^a and −−→AC=2^b. The point D is positioned on the line BC such that BD:DC=3:2. The point E is positioned on the line AD such that AE:ED=1:2. The expression for the vector −−→AE in terms of ^a and ^b is
Answer» The diagram shows a scalene triangle, $A B C$ , with vectors $- - \to A B =^a$ and $- - \to A C = 2^b$ . The point $D$ is positioned on the line $B C$ such that $B D : D C = 3 : 2$ . The point $E$ is positioned on the line $A D$ such that $A E : E D = 1 : 2$ . The expression for the vector $- - \to A E$ in terms of $^a$ and $^b$ is

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The diagram shows a scalene triangle, ABC, with vectors −−→AB=^a and −−→AC=2^b. The point D is positioned on the line BC such that BD:DC=3:2. The point E is positioned on the line AD such that AE:ED=1:2. The expression for the vector −−→AE in terms of ^a and ^b is

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