3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

Q: IDENTIFY THE VECTORS DRAWN IN THE UNIT CELL. B A D

A: We mark x, y, z axis.  Since it is a unit cell, so it will be 1 unit length on all direction axis.…

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: A vector has components A₁, A₂ and 43 in a right-handed rectangu The coordinate system is rotated…

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: 5. 3 2 tu

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Q: Draw à = 3î + 2ĵ+ 5k. Must Include the Rectangular Prism used to draw 3D vectors.

A: a⇀ = 3i^ + 2 j^ + 5k^ The given vector indicates a 3D vector :  3 units in the direction of x-axis…

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: Find the vector v with the magnitude.15/2 and direction of u = For the toolbar, press ALT+F10 (PC)…

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Q: Consider the following vectors. - (1.80 m)i + (3.00 m) 3 -(-4.00 m) i-(5.80 m) B: 4.50 m, at +65.0⁰…

A: Given that A= (1.80m)i+(3.00m)jB=(4.50m) at +65.000B=4.50m cos 650+4.50 sin 650B=1.90i+4.08jC=-4 i…

Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: 1. Given the points P=(3,-1,-2) and Q=(2, 4, 0) answer or do the following: a) Find i = PQ :_ b)…

A: We can write the points P and Q as P→=3i-j-2k and Q→=2i+4j-0k. We have to find the vector v where…

Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

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Q: Find the angle a in radians between the vectors απ -3] and

A: Step 1: Given vectors: u=[−3−1​] and v=[1−2​] Step 2: To find the angle 𝛼 between two vectors a and…