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Problem 6. (1 point) a. Find the coordinate vector for each vector in the figure. \( \vec{a} = \) \( \vec{b} = \) \( \vec{c} = \) help (vectors) help (vectors) help (vectors) b. Using geometric vector addition, draw the vector sum \( \vec{a} + \vec{b} + \vec{c} \). Then, verify your answer using vector addition operations. \( \vec{a} + \vec{b} + \vec{c} = \) help (vectors) c. Using geometric vector addition, draw the vector sum \( 2\vec{a} + 3\vec{b} - \vec{c} \). Then, verify your answer using vector addition and scaling operations. \( 2\vec{a} + 3\vec{b} - \vec{c} = \) help (vectors) d. Find the vector sum \( z_1\vec{a} + z_2\vec{b} + z_3\vec{c} \) when \( z_1 = -2 \), \( z_2 = 5 \) and \( z_3 = -5 \). You should be able to do this both geometrically and algebraically. \( z_1\vec{a} + z_2\vec{b} + z_3\vec{c} = \) help (vectors) e. Find a vector \( \vec{d} \) such that \( \vec{a} + \vec{c} + \vec{d} = \vec{0} \). You should be able to do this both geometrically and algebraically. \( \vec{d} = \) help (vectors)

          Problem 6. (1 point)
a. Find the coordinate vector for each vector in the figure.
\( \vec{a} = \)
\( \vec{b} = \)
\( \vec{c} = \)
help (vectors)
help (vectors)
help (vectors)
b. Using geometric vector addition, draw the vector sum \( \vec{a} + \vec{b} + \vec{c} \). Then, verify your answer using vector addition operations.
\( \vec{a} + \vec{b} + \vec{c} = \)
help (vectors)
c. Using geometric vector addition, draw the vector sum \( 2\vec{a} + 3\vec{b} - \vec{c} \). Then, verify your answer using vector addition and scaling operations.
\( 2\vec{a} + 3\vec{b} - \vec{c} = \)
help (vectors)
d. Find the vector sum \( z_1\vec{a} + z_2\vec{b} + z_3\vec{c} \) when \( z_1 = -2 \), \( z_2 = 5 \) and \( z_3 = -5 \). You should be able to do this both geometrically and algebraically.
\( z_1\vec{a} + z_2\vec{b} + z_3\vec{c} = \)
help (vectors)
e. Find a vector \( \vec{d} \) such that \( \vec{a} + \vec{c} + \vec{d} = \vec{0} \). You should be able to do this both geometrically and algebraically.
\( \vec{d} = \)
help (vectors)

Problem 6. (1 point)
a. Find the coordinate vector for each vector in the figure.
a⃗ =
b⃗ =
c⃗ =
help (vectors)
help (vectors)
help (vectors)
b. Using geometric vector addition, draw the vector sum a⃗ + b⃗ + c⃗. Then, verify your answer using vector addition operations.
a⃗ + b⃗ + c⃗ =
help (vectors)
c. Using geometric vector addition, draw the vector sum 2a⃗ + 3b⃗ - c⃗. Then, verify your answer using vector addition and scaling operations.
2a⃗ + 3b⃗ - c⃗ =
help (vectors)
d. Find the vector sum z1a⃗ + z2b⃗ + z3c⃗ when z1 = -2, z2 = 5 and z3 = -5. You should be able to do this both geometrically and algebraically.
z1a⃗ + z2b⃗ + z3c⃗ =
help (vectors)
e. Find a vector d⃗ such that a⃗ + c⃗ + d⃗ = 0⃗. You should be able to do this both geometrically and algebraically.
d⃗ =
help (vectors)

Added by Jessica R.

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