O Exercises: Find each quantity if y = 3i – 5j and w =-2i + 3j. 5) 3v – 2w 6) Iv + wl 7) Ivl + Iwl

Q: Find the indicated quantity, assuming thatu = 5i + j, v =i - 3j, and w = 31 + 4j. + v) (u v)

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Q: b) IJ 3D 10 ст, НА %3D 11 ст 55° H 25° J 140° В 60° K AK =

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Q: %3D Given that m AB = 70° and mLE = 20°, find m bC. %3D C. D.

A: Given,          AB⏜=70° and ∠E=20°

Q: Find the indicated quantity, assuming that u = 5i + j, v =i - 3j, and w 3i + 7j. %3D %3D u (v + w)

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Q: 4. ABCD is a trapezoid. Find the value of x and y. B C 117° 70° А Ox= 63, y = 63 %3D Ox= 63, y= 110…

A: The objective of the question is determine the angles of trapezoid.

Q: In AFGH, FG || IJ. Given that HF= 24, FG=32, and IJ 20, find HI. G HI%3D H. %3D

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Q: Figure ABCD - Figure EFGH. F 2.5 G В 5.0 С E H. 3.0 4.0 A 8.0 Perimeter of ABCD = 20 %3D Perimeter…

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Q: Find the indicated quantity, assuming that u = 5i + j, v = i – 3j, and w = 3i + 6j. u (v + w)

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Q: If EF is not parallel to DG, what is mZF? 39° mZF = %3D

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Q: Find the value of t in rhombus CDEF. E t+40° 4t C

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Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: Use the equations to find əz/əx and əz/ây. e? = 8xyz %3D az %3D ax az ду II

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Q: Find the length of the cardioid r=2+2cosθ.

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Q: E 50° C Find the value of x° in rhombus ABCD. O 40° O 45° O 50° 90

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Q: sin Vr?+y? dzdy Vz²+y? Evaluate: 6' S O (V2 2) 8 (2–/2)= 4 (2-V2)T 8. O (V2 2)m 4

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Q: Determine the length of the diagonals of the isosceles trapezoid below when KL = h + 7 and UE = 4h –…

A: Given : KL = h+7UE = 4h-25

Q: In AIJK, the measure of ZK=90°, KJ = 63, IK = 16, and JI = 65. What ratic represents the cosecant of…

A: In ∆IJK, the measure of∠k=90°,KJ=63,IK=16 and JI=65. what is the ratio of the cosecant of ∠I?

Q: 2. Find the length x, y, and z. 60 45 45 6.

A: Topic = Triangle

Q: In the diagram below of triangle UVW,X is a midpoint of UV and Y is a midpoint of VW. If mZY XV : 3x…

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Q: Find the indicated quantity, assuming u = 7i + j, v = i - 3j, and w = 3i + 5j. (u + v) · (u – v)

A: Givenu=7i+jv=i-3ju+v=7i+j+i-3j=8i-2ju-v=7i+j-(i-3j)=7i+j-i+3j=6i+4j

Q: In the diagram, R, S, and T are all points of tangency. What is the perimeter of AXYZ? Z 5 cm T 13…

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Q: B A 1. If AE = 90° and BD = 38°, find the measure of ZC. %3D %3D

A: It is given that AE⏜=90°, BD⏜=38°. Recall the fact that, if two lines containing chords of a circle…

Q: Obtain the values oF a and b Catb) + j la-b)= (itj)+j° (2+j5)

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Q: Evaluate tet? + y* + z* dv, where E is the portion of the unit ball x2 + y2 + z² s1 that lies in the…

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Q: In the diagram below of triangle IJK, L is the midpoint of I K and M is the midpoint of JK. If mZKIJ…

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Q: Y=Cotx ニ QIDraw Then find the Dand R?

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Q: T 39 to 45° R Given that ZQRS is 164°, what is the measure of 2x? Zx =

A: Answer is- 80° Explanation is given below...

Q: Find the indicated quantity, assuming u = 6i + j, v = i - 3j, and w = 3i + 7j. (u + v) · (u – v)

A: We know,  i·i=1 ; i·j=0 ; i·k=0j.i=0 ; j·j=1 ; j·k=0k.i=0 ; k·j=0 ; k·k=1

Q: Does AD lie in plane M?

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Q: What are the foci of(x/a)2+(y/b)2 = 1 if a<b?

A: We have the following given ellipse -  xa2 + yb2 = 1   where a<b

Q: Use the similar triangles below to determine how r2 relates to r1, Y1, and y2. y2 Y1 X1 X2 a) 22 =…

A: Please refer the attached image for complete solution.

Q: Nf JG = JF, GD = 13, and mCD = 136" find each measure. 10. If Y an H. D 02 ED = CF = mED= m HD = %3D…

A: 9) If JG=JF, GD=13 and mCD⏜=136° . To find ED, CF, mED⏜,  mHD⏜,  mCE⏜

Q: In the diagram of APSR below, TQ||SR, PT=7, TS=21, and QR=27. Wh length of PR? P 7 T 21 27

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Q: Evaluate y Ja² - y2 dy [hint: assume y? = a?x], %3D

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Q: Write a in the form a = arT + aN N at t-0 for R(t) = t2i + %3D (t+r) + ( -r°*

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Q: In the diagram below of triangle STU,V is a midpoint of ST and W is a midpoint of TU. If MZWVT = 90…

A: Given, V is midpoint of ST. W is midpoint of TU. According to given, VW || SU

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VW. If XY = 54 –…

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Q: In AHIJ, i = 37.7 m, j = 45.2 m and ZJ = 71°. Determine the measure of ZI? %3D J 71° 37.7 m h H I

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Q: Find the indicated quantity, assuming that u = 4i + j, v = i − 3j, and w = 3i + 2j. u · v + u · w

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Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: xy? + x² + y² = 1 %3D

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Q: u = pq/r, v = pVār, find , and when p = 2, q = 1, r = 4. Given T ƏT || 2u+v?

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Q: f in a AABC,ZB = 54°, ZC = 55°, and side b = 16 inches, %3D %3D %3D

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Q: Find r'(t), r"(t), r'(t) - r"(t), and r'(t) x r"(t). r(t) = 2t2i – 3tj + t3k (a) r'(t) (b) r"(t) (c)…

A: To find r'(t), r"(t), r'(t).r"(t), r'(t)×r"(t).

Q: the picnic table is located 8 meters from the slide and 6 meters from Holly. The duck and duckling…

A: Find the position of picnic table.

Q: In the diagram below of triangle UVW,X is a midpoint of UV and Y is a midpoint of VW. If m/Y XV = 3x…

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Q: In the diagram below of triangle STU,V is a midpoint of ST and W is a midpoint of TU. If VW = 25 –…

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Q: In the diagram below of triangle IJK, L is the midpoint of IK and M is the midpoint of JK. If LM =…

A: given,

Q: 3. DC %3D FD In the triangles below, D= AC and ZB ZF. Which statement must be true? A. AB EF O BAABC…

A: The solution is :