Two vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→.
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Two vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→.
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- Two vectors are given by a→=2.8î+7.4ĵ and b→=5.9î+3.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→. I just need (d) solved.Two vectors are given by a→=2.8î+7.4ĵ and b→=5.9î+3.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→.Three vectors are given by a→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î +(1.00)ĵ +(4.00)k Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x- component, (d) y-component, and (e) z- component of a→x(b→+c→) respectively.
- Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component of a→ along the direction of b→?I need help with this problem: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What should be the length of B⃗ B→ so that the magnitude of their vector sum is 4.00?Two vectors a→ and b→ have the components, in meters, ax = 6.33 , ay = 1.43 , bx = 1.59 , by = 4.56 . (a) Find the angle between the directions of a→ and b→ . There are two vectors in the xy plane that are perpendicular to a→ and have a magnitude of 8.09 m. One, vector c→ , has a positive x component and the other, vector d→ , a negative x component. What are (b) the x component and (c) the y component of c→ , and (d) the x component and (e) the y component of vector d→ ?
- Two vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component ofa→along the direction ofb→?Two vectors,r→ands→lie in the xy plane. Their magnitudes are 4.86 and 4.06 units, respectively, and their directions are 344o and 53.0o, respectively, as measured counterclockwise from the positive x axis. What are the values of (a)r→⋅s→and (b)|r→×s→|?Two vectors a→ and b→ have the components, in meters, ax = 5.04 , ay = 2.15 , bx = 1.40 , by = 5.72 . Find the angle between the directions of a→ and b→. There are two vectors in the xy plane that are perpendicular to a→ and have a magnitude of 6.53 m. One, vector c→, has a positive x component and the other, vector d→, a negative x component. What are the x component and the y component of c→, and the x component and the y component of vector d→?
- Two vectors A→ and B→ are at right angles to each other. The magnitude of A→ is 1.00. What should be the length of B→ so that the magnitude of their vector sum is 2.00?Vector B→ has magnitude 7.10 and direction 14.0° below the +x-axis. Vector C→ has x-component Cx = −2.00 and y-component Cy = −6.70. What angle does the vector C→−B→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis.For the vectors a→=(3.0m)î+(4.0m)ĵ and b→=(5.0m)î+(-2.0m)ĵ, give a→+b→ in (a) unit-vector notation, and as (b) a magnitude and (c) an angle (relative to î in the range of (-180°, 180°]). Now give b→-a→ in (d) unit-vector notation, and as (e) a magnitude and (f) an angle (relative to î in the range of (-180°, 180°])