Math 1060 test 3

Determine whether the vectors v and w are orthogonal. 15. v = < -2, 6 >, w = < -10, -5 >

-10 not orthogonal

Find the expression. 11. u = 4i + j, v = -2i - 8j Find 3v-u.

-10i-25j

Write the vector v in the form v1i + v2j, given v and the direction angle Ό of v. 12. IIVII= 11, @= 120^degree

-11/2i+ 11sqr3/2j

Determine whether the vectors v and w are parallel. 16. v= <2, -4>, w= <-6, 12>

-3 yes parallel

Find the expression. u = <-1, 2>, v =< -4, 5> find 3v-u.

<25, -29>

Solve the SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two triangles. Solve the resulting triangle. Round angle measures to the nearest degree and lengths to the nearest tenth when necessary. 6. B= 13^degree, b= 16.8, a= 18.67

A1= 14.5^degree C1= 52.5^5degree c1= 34.5 A2= 15.5^degree C2= 1.5^degree c2= 2

Solve triangle ABC, Round side lengths and angle measures to the nearest tenth when necessary. 4. a= 6.8, b= 13.5, c= 16.4

A= 23.1^degree C= 105.9^degree B= 51^degree

Solve triangle ABC, if necessary, round the answers to the nearest tenth. 3. A= 37.3^degree, C= 93.4^degree, b=16.4 cm

B= 49.3^degree c= 21.6 cm a= 13.1 cm

Find the angle between vectors v and w. Round the answer to the nearest tenth of a degree. 14. v= <-6, -3>, w= <2,4>

IIvII= sqr45 IIwII= sqr20 @= 143.1^degree v X w= -24

Find the magnitude and direction angle of the vector v. Round the direction angle to the nearest tenth of a degree when necessary. 13. v= -2i +7j

IIvII= sqr53 @= 105.9^degree

Find the area of triangle ABC (see the figure) with the given information. Round to the nearest tenth. 7. A΅ = 34.5° b = 10.5 in. c = 4.3 in

K= 12.8 in^2

Solve the SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two triangles. Solve the resulting triangle. Round angle measures to the nearest degree and lengths to the nearest tenth when necessary. 5. B= 65^degree, b= 5, c= 6

No triangle

Solve triangle ABC, if necessary, round the answers to the nearest tenth. 2. A= 30^degree, B= 100^degree, a= 2 meters

b= 3.9m c= 3.1m

1. Solve the right triangle; angle C is the right angle. Round to the nearest tenth when necessary. a= 3.7, b=2.4

c= 4.4 A= 57^degree B= 33.0^degree

Sole the problem. 8. Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 60 yards from B and 107 yards from A, with angle ACB measuring 63.4°. How far apart are A and B to the nearest yard?

c= 96 yards

Find the expression. 9. u= <3, -1> find IIUII

sqr10