Verify that 2j+k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find the acute angle between the planes II, and II,

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: The initial and terminal points of a vector v are given. Terminal Initial Point Point (2/²) (14) (a)…

A:

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: To find unit vectors that satisfy the stated conditions.a Same direction as -3i+2ju=?b Oppositely…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: To find the unit vectors that satisfy the stated conditions.a Same direction as -3i+7j.u=?b…

Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: Let u = PQ and v = PR. (a) Write u and v in component form. (4₁, 4₂) = u V P = (-2,-1), Q = (5, -1),…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.