Find the specified vector or scalar V 8i 2j Find 3v A 24i

Find the specified vector or scalar. V = 8i + 2j; Find 3v. A) 24i+ 6j B) 11i + 5j C) 11i + 2j u = - 7i + 1j and v = 8i + 1 j; Find |u + v| A) 15 B. squareroot 82 C. squareroot 115 Write the vector v in terms of i and j whose magnitude (¡v|| and direction angle 0 are given |v| = 7, theta = 225 degree A) v = 7 squareroot 2/2 i + 7 squareroot 2/2 j B) v = - 7 squareroot 3/2 i - 7/2 j C) v = - 7/2 i - 7 squareroot 3/2 j D) v = - 7 squareroot 2/2 i - 7 squareroot 2/2 j Use the given vectors to find the specified scalar. U = 11i + 4j and v = -6i - 5j; Find u middot v A) -46 B)-86 C) - 20 Find the angle between the given vectors. Round to the nearest tenth of a degree. U = - i + 4j, v = 2i - 5j A) 59 degree B) 1 degree C) 172.2 degree Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = 4i + 3j, w = 3i - 4j A) orthogonal B) parallel C) neither

Solution

12)given |v|=7 , =225^o

v=7(cos225^oi+ sin225^oj)

v=7(cos(180+45)^oi+ sin(180+45)^oj)

v=7(-cos45^oi- sin45^oj)

v=7(-(2_/2)i- (2_/2)j)

v=-(72_/2)i- (72_/2)j