If B→ is added to C→=7.7î+7.9ĵ, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of C→. What is the magnitude of B→?

The two vectors a→ and b→ in the figure have equal magnitudes of 10.2 m and the angles are θ1 = 30° and θ2 = 101°. Find (a) the x component and (b) the y component of their vector sum r→, (c) the magnitude of r→, and (d) the angle r→ makes with the positive direction of the x axis.

In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from the +x direction, and vector C→ has a magnitude of 15.9 m and is angled 24.6° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B→? State your angle as a positive number.

Two vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?

Vector  B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector  C→C→ has x-component Cx = −2.00 and y-component Cy = −6.70. a. What is the x-component of  B→B→ ? b.What is the y-component of  B→B→ ? c. What is the magnitude of  C→C→ ? d. What angle does C→C→  make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis anwer in degrees e. What is the magnitude of  C→+B→C→+B→ ? f. What angle does the resultant vector  C→+B→C→+B→  make with the +x-axis in clockwise direction? A positive angle is counterclockwise from the +x-axis. asnwer in degrees g. What is the magnitude of  C→−B→C→-B→ ? h. What angle does the vector C→−B→C→-B→  make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis. asnwer in degrees i. What is the x-component of  C→−B→C→-B→ ? j.What is the y-component of  C→−B→C→-B→ ?

Vector A⃗A→ has components AxAx = 5 mm and AyAy = -3 mm. Vector B⃗B→ has a magnitude of 8 mm and makes an angle of 30∘∘ with respect to the positive +xx axis. Find the magnitude of the vector C⃗C→ = 2A⃗A→ + B⃗B→.

What is the x-component and magnitude of A→?

The figure shows three vectors. Vector  A→ has a length of 35.0, vector B→ has a length of 69.0, and vector C→ has a length of 21.0. Solve the given equations.   A→∙B→= ?   B→∙(A→+C→)= ?

Vector  B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector  C→C→ has x-component Cx = −2.00 and y-component Cy = −6.70. b. What is the y-component of  B→B→ ? c. What is the magnitude of  C→C→ ? d. What angle does C→C→  make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis. (answer in degreees) e. What is the magnitude of  C→+B→C→+B→ ?

What is A→y, the y-component of the vector A→?