4. Find the angle between w = –3i + V33 and =

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A:

Q: The acute angle (in radians) between the two straight lines y 3x + 2 and y = 4x + 7 is closest to O…

A:

Q: Find the value of A which is defined as the angle between i+j and j+ k.

A:

Q: Verify the identity.

A:

Q: Consider the following. = (4, 6), v = (9, 1) %3D (a) Find u • v. u V = (b) Find the angle between u…

A:

Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

A:

Q: If PQ = PS 48 and QR = 66, what is RS? %3D RS=

A: We have, PQ = PS = 48 and QR = 66 The figure of the triangle is To evaluate: The value of RS.

Q: 2- In order to read his book, Stephen uses a pair of reading glasses. When he bolds the book at a…

A: Solution

Q: Convert to polor coordinates with  r ≥ 0 and 0 ≤ theta < 2pi (4,0)  (r, theta) = ?

A: Polar coordinates (r, θ)            where r ≥ 0 and 0 ≤ theta &lt; 2pi Cartesian coordinates (x, y)…

Q: Find the angle in radians between the planes 2x+z=1 and 4y+z=1

A:

Q: For the given triangle, prove that JK +JL> KL.

A: To Prove: (JK + JL) &gt; KL

Q: let U =5i +12 j and V= -4ij and find the follawing. what is the angle between D and V to the a…

A:

Q: Find the angle (in radian) between the planes 2x + Z = 3 and x + 2y + Z = 2y z = 2.

A:

Q: 9. Work out the angles marked x, y and z. 44 51 46 O62 B A

A: Answer

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

A:

Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: If i x w = 3i+ 2j – between i and w, then k, and i· w = 4, and 0 is the angle (a) tan 0 (b) 0 : ||

A:

Q: dz where C is cir

A:

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: Let V = -î + 3j + 4k and W = 2î – 45 + k, then find cos 0, where 0 is the angle %3D between V+ W and…

A: Given: V⇀=-i^+3j^+4k^W⇀=2i^-4j^+k^

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v || = 64, 0 4

A: Directly use the formula for dot product of two vector and simplify the result.

Q: 2. Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: I have solved the question 2 for you as we can solve one question in one session. f you want the…

Q: For the given triangle, prove |JK| + |JL| > |KL|.

A: Consider the given triangle JKL. Construct the triangle JKL as shown below:

Q: 6. What is the tangent of the 30° angle? y 213 60° 30° O yV3 6 O zv3

A:

Q: If å = (2,2,2), b = 2 and tan 0 = v3,(where 0 is the angle %3D %3D %3D between a and b) then the…

A:

Q: Determine u v if |lu| = 5, llv|| = 6, and 0 = where 0 is the angle between u and V. Round answer to…

A:

Q: Find p such that angle between u = 3 and v = is 60° 4 р a. p= ±3 Ob. p=±- V5 O C None of these Od. 4…

A:

Q: 7. Use the right triangle and the table to find the measure of angle y. Sine Cosine Tangent 1 30° 2.…

A: 7. Given a triangle 8. Given a figure

Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. tanθ = 1

A: The given equation tanθ=1 is a trigonometric function; hence, trigonometric identities help to find…

Q: 7.2 a and zh are alternate exterior angles, thus their measurements are complementary supplementary…

A:

Q: Let a = ci + j andb = 8i + 15j. Find e so that the angle between a and b is. Round your answers to…

A: Consider the dot product of two vectors

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: 13 Given : tau e = u and ☺ B in Qundrant I. Show that Sin O %3D VItu?

A: Given: To show: Graph:

Q: If v x w = (2, -2,5) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A: Topic- Dot and Cross product of Vectors

Q: Find the measure of the angle between planes x + y − z = 3 and 3x − y + 3z = 5. Give the answer in…

A:

Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

A:

Q: Give the length of the missing leg. cos(A) %3D cot(A) %3D

A: We can use Pythagoras theorem to find the value of Missing leg.   Pythagoras Theorem  In a right…

Q: Find TN and B for the carve at the indicated pont r(() = (t,t,e') at (0,0,1) T= B= ?

A:

Q: In AJKL, the measure of ZL=90°, JL = 80, KJ = 89, and LK = 39. What is the value of %3D %3D the sine…

A:

Q: The sine of the acute angle between the plane n and the line /, where n: x- y+z= 2, and x-2 = y+1 -…

A:

Q: Consider this right triangle. 25 R. 24 Select the ratio equivalent to cos(S). A. 25 7. 24 B. 24 25…

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Q: Given that cos 0 = v2, and the terminal arm i %3D nteasure of the angle in standard position?

A:

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: Use a coterminal angle to find the exact value of the exgression. De nt sin 750° O 2 O 23 3. 1/2

A: Given:   sin(750°)writing 750°=2×360°+30° sin(750°)= sin(2×360°+30°)we know that 360°=2πThen…

Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45 2.플 3n 5. 270" 3. - Sn 6. 330°

A:

Q: Find the angle (in radian) between the planes 2x + 2y Z = 3 and x + 2y + Z = z = 2.

A: Consider the two planes: 2x + 2y - z =3  and  x + 2y + z =2. We have to find the angle between the…