RS || VT, RV 1 VT, and ST 1 VT RSTV is a parallelogram Given: Prove: R V T.

Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Let v1 = and vz =. Answer the following: (a) Give three vectors in span{V1,V2}. (b) Is w = contained…

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Q: Compute the length of the following vector: V 5 1 2

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Q: If p = 2i +j - kand q  = i - 3j +2kdetermine the norm of the addition of p and q, and the magnitude.

A: Consider the given information. p=2i+j-kq=i-3j+2k Find the sum of p and q. p+q=2i+j-k+i-3j+2k=3i-j+k

Q: Find the cross product a x b. a4j-9k, -9i+5j + 12k b-i + 3j+k Verify that it is orthogonal to both a…

A: The given vectors  and .The objective is to find the cross product  and verify that is orthogonal…

Q: gj Let v= 2; tj V = 2; +j and w=i+2j. Sketch 20, and

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Q: Determine m such that the two vectors are orthogonal.

A: Given : 4mi+j and 9m-25j

Q: Consider the regular octagon centered at the origin as shown at right. Eight unit vectors are drawn…

A: By definition, the cross product of two vectors is a vector in the direction perpendicular to the…

Q: Answer this question by considering A(X1,Y1), C(X2,Y2) and B=u+v=(X1+X2,Y1+Y2), and justify your…

A: Step 1: Express the vectors in terms of u and vStep 2: Step 3: Step 4: Since both pairs of opposite…

Q: Lets vectors V and U be such that |v|=3 and |u|= 4. the angle between v and u is 30 degrees. find…

A: Given: u→=4    and   v→=3 Angle between vectors u and v is: 30°

Q: Consider the two vectors u = 5i+j-4k and v=3i+j - 4k Find the cross product u x v. U XV= j+ k

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: Verify the Parallelogram Law: For any two vectors x, y in R" we have 2||x||² + 2||y||² = ||x + y||²…

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Q: Find the Euclidean norm of the given vector. Hint: 7 = 49, 24? = 576 V = 24 ||v|| = Ex: 1

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Q: Given v = -8i - 4j and w = -6i + 4j  b. Find vectors v1 and v2 such that v1 is parallel to w,v2 is…

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Q: Check whether u = 6i – 2j+k and v=-4i – 3j+9k parallel or not are

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Q: Vectors. v=i-2j+k, w= i +2j-3K a) Compute the length of V-W.

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Q: Let a₁ = 1 4 -1 a₂= The value(s) of h is(are) - 24 3 and b = 4 0 h For what value(s) of h is b in…

A: Given that: a1=14−1, a2=−7−243, b=40h To find the value of h if b is the vector in the plane spanned…

Q: Find the cross product (i+e¹j+e¯¹k) × (5i + etj − e−k).

A: Step 1:Here need cross product of ,(i+etj+e−tk)×(5i+etj−e−tk) If a=ai+bj+ck and b=xi+yj+zk given…