Let â = î + 4j – k and b = -i+ 21 - 2k. Find: (i) the magnitude |6|. (ii) the dot product â - b. (iii) the angle between â and b in terms of n.
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Q: Qe Find the angle IF 7-2i-10j - u k , B-2á +2j+ k and ÀxB , CẦ xB) Ã between the m 3 = 2Á +2j+ k
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Q: Q1 : Find the angle between u = 2i + j- 2k and v = i+j+k.
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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -
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Q: Q4 (a Ifa = 3i + j -k and b = 2i +j + 2k find the dot product a · b and the angle between a and b.
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Q: The cross product of A = 4i + 2j with B is zero. The dot product of A •B = 30. Find B.
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Q: Q2 Find the angle IF A= 2i-10j - 1k and ÀxB between them B = 2Á +2j+ k , CẦ xB) A
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Q: Given |F,| = 85 N and |F2| = 125 N and they are acting at an angle of 140° to each other... a) Find…
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Q: 3) A boy is flying two kites at the same time. He has x = 105 m of line out to one kite and y = 145…
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Q: Find the angle between A-10, + 2a, and B--4a, + 0.5a, using both the dot product and the cross…
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Q: v = 6i - 8j, one of which is parallel to w = - i + j and
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A: The given figure is:
Q: Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m +n =0,12 + m²…
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Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:
A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given:…
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Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m+n= , 12+m2+n2=0
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Q: Q2 Find the angle between the m If Ā =2i-10j - 11k and À xB , CẦXB) Ä 3 = 2i +2j+ k
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Q: Qe Find the IF Ā=2i -10j - k , B=2i+2j+ k and ÀxB , CAXB) Ã angle between them B = 2i +2j+ k
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- use the formula x=1/32 v2 sin 2 theta to explain why the projection angle that maximizes the distance a projectile traves is theta=45 degrees when h0=0 find the horizontal distance traveled by a football kicked ground level at speed v and angle theta?The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin θ, where W is the weight of the car and θ is the angle of the hill's grade (θ > 0 for uphill travel, θ < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a 3000-lb car traveling uphill on a 3° grade ()?Find the angle in radians between the planes 2x+z=1 and 4y+z=1
- Radiation is focused to an unhealthy area in a patient’s body using a semielliptic reflector, positioned in such a way that the target area is at one focus while the source of radiation is at the other. If the reflector is 100 cm wide and 30 cm high at the center, how far should the radiation source and the target area be from the ends of the reflector?show that r = cos 2θ is symmetrical with respect to the horizontal axis.The range R of a projectile fired from the origin over horizontal ground is the distance from the origin to the point of impact. If the projectile is fired with an initial velocity y0 at an angle a with the horizontal, then in Chapter 12 we find that R =y02/g sin 2a, where g is the downward acceleration due to gravity. Find the angle a for which the range R is the largest possible.
- Find the angle between the planes 3x − 2y + z = 9 and x + y + z = 1. Give the angle in radians.A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the point of impact withan initial velocity of 35 ft / sec at an angle of 27 and slips by theopposing team untouched. How high does the volleyball go, and when does it reach maximum height?You are walking to a bus stop at a right-angle corner. You move north at a rate of 2 m/sec and are 20 m south of the intersection. The bus travels west at a rate of 10 m/sec away from the intersection – you have missed the bus! What is the rate at which the angle between you and the bus is changing when you are 20 m south of the intersection and the bus is 10 m west of the intersection?
- An object is spinning at a constant speed on the end of a string, according to the position vector r(t) = a cos ωti + a sin ωtj. (a) When the angular speed ω is doubled, how is the centripetal component of acceleration changed? (b) When the angular speed is unchanged but the length of the string is halved, how is the centripetal component of acceleration changed?Find the Cartesian equation of the curve: [2r/r² = 1+ cos a]The diagram shows two planks are slanted on a vertical wall.Express cot x in terms of p.