Find the value of h for which the vectors are linearly dependent

Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

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Q: Are the following vectors linearly independent? Yes No , ,,

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Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors V₁, V₂, and v₂…

A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: For the three given vectors, either show that they are linearly independent or find a nontrivial…

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Q: Let v1 = v2 = 3 v3 = Are the vectors v1, v2 and vz linearly independent? linearly dependent If the…

A: Vectors v1, v2, v3 are linearly dependent if C1v1+c2v2+c3v3 =0 implies atleast one Ci is non…

Q: Determine whether or not the 3 vectors of P2(R), p1(t) = 1−t², p2(t) = t, p3(t) = −1+t+t² arly…

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Q: -2 Show whether or not the vector bs is a linear combination of the vectors a, = az = and az = that…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Let A = (0, 0, 0) and vector v = (-3, 0, 1). Find vector equation of the line containing the point A…

A: Given point on the line is A=(0,0,0) and the line is parallel to the vector V=(-3,0,1)

Q: If possible express the vector v as a linear combination of V1, V2, and V3.

A: If possible let pv1 + qv2 + rv3 = vp(3, -1, 2) + q(-2, 1, -1) + r(3, -2, 1) = (0, 0, 0)