Question 1 of 5Find the unit vector u in the direction of v.
Select the Correct Answer Below: Correct! Not Correct!
A
$$\frac{2 \sqrt{29}}{29}\hat{\text{i}}+ \frac{5 \sqrt{29}}{29}\hat{\text{j}}$$
B
$$\frac{3 \sqrt{10}}{10}\hat{\text{i}}+ \frac{\sqrt{10}}{10}\hat{\text{j}}$$
C
$$-\frac{\sqrt{37}}{37}\hat{\text{i}}- \frac{6\sqrt{37}}{37}\hat{\text{j}}$$
D
$$\frac{4 \sqrt{13}}{13}\hat{\text{i}}- \frac{7\sqrt{13}}{13}\hat{\text{j}}$$
E
$$-\frac{3 \sqrt{58}}{58}\hat{\text{i}}- \frac{7 \sqrt{58}}{58}\hat{\text{j}}$$
Question 2 of 5Find the dot product of the vectors u and v.
Select the Correct Answer Below: Correct! Not Correct!
A
$$43$$
B
$$-51$$
C
$$-43$$
D
$$8$$
E
$$20$$
Question 3 of 5Find the measure of the angle θ between the vectors u and v.
Select the Correct Answer Below: Correct! Not Correct!
A
$$θ ≈ 57.53°$$
B
$$θ ≈ 120.96°$$
C
$$θ ≈ 119.74°$$
D
$$θ ≈ 27.36°$$
E
$$θ ≈ 111.04°$$
Question 4 of 5Find the measure of the angle θ between the vectors u and v.
Select the Correct Answer Below: Correct! Not Correct!
A
$$θ ≈ 29.98°$$
B
$$θ ≈ 141.48°$$
C
$$θ ≈ 100.62°$$
D
$$θ ≈ 176.82°$$
E
$$θ ≈ 39.88°$$
Question 5 of 5Determine b so that the two vectors u and v are orthogonal.
Select the Correct Answer Below: Correct! Not Correct!
A
$$-\frac{10}{3}$$
B
$$-\frac{3}{10}$$
C
$$-\frac{5}{12}$$
D
$$-3$$
E
$$-10$$

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