A. B. C. D.
10.已知向量,,且,则实数的值为( )
A.2或 B. C. D.
11.已知向量a ⃗,b ⃗满足a ⃗-2b ⃗=(2,-2),b ⃗=(-3,m),且a ⃗∥b ⃗,则m=
A.3 B.-3 C.12/7 D.-12/7
12.已知向量a ⃗,b ⃑满足|a ⃗|=1,|a ⃗+b ⃗|=√7,|a ⃗-b ⃗|=√3,则|b ⃑|=( )
A.1 B.2 C.3 D.4
13.已知向量a ⃗," " b ⃑满足a ⃑·(a ⃑+b ⃑)=5,且|a ⃑|=2,|b ⃑|=1,则向量a ⃗与b ⃑的夹角为( )
A.π/6 B.π/4 C.π/3 D.2π/3
二、填空题
14.已知向量.若向量与垂直,则=_______________
15.设, 满足且,则的值为________.
16.已知向量,若,则与方向相同的单位向量的坐标是______.
17.已知向量,满足,,则向量,的夹角的取值范围是 ▲
18.已知a ⃑=(1,λ),b ⃑=(2,1),若向量2a ⃑+b ⃑与c ⃑=(8,6)共线,则实数λ的值为______.
19.在ΔABC中,D是BC的中点,H是AD的中点,过点H作一直线MN分别与边AB,AC交于M,N,若(AM) ⃑=x(AB) ⃑,(AN) ⃑=y(AC) ⃑,其中x,y∈R,则x+4y的最小值是_____.
20.已知数轴上两点A,B的坐标分别是-8,-3,则的坐标为_____,长度为_____.